Paolo Piccione | Academic Influence

Paolo Piccione's AcademicInfluence.com Rankings

Paolo Piccione

Computer Science

#10819

World Rank

#11394

Historical Rank

Machine Learning

#5601

World Rank

#5676

Historical Rank

Artificial Intelligence

#6044

World Rank

#6137

Historical Rank

Database

#9263

World Rank

#9750

Historical Rank

computer-science Degrees

Download Badge

Computer Science

Paolo Piccione's Degrees

PhD Computer Science University of São Paulo
Masters Computer Science University of São Paulo
Bachelors Computer Science University of São Paulo

Similar Degrees You Can Earn

Why Is Paolo Piccione Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Paolo Piccione is an Italian mathematician working in differential geometry, Riemannian geometry and analysis. He is professor at the University of São Paulo since 1996 and president of the Brazilian Mathematical Society since 2017.

(See a Problem?)

Paolo Piccione's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Partial Representations and Partial Group Algebras (1999) (75)
An analytical theory for Riemannian cubic polynomials (2002) (52)
Spectral Flow, Maslov Index and Bifurcation of Semi-Riemannian Geodesics (2002) (51)
New Solutions of Einstein Equations in Spherical Symmetry: The Cosmic Censor to the Court (2002) (50)
An intrinsic approach to the Geodesical Connectedness of Stationary Lorentzian Manifolds (1999) (42)
The Morse index theorem in semi-Riemannian geometry (2000) (42)
On bifurcation of solutions of the Yamabe problem in product manifolds (2010) (39)
Computation of the Maslov index and the spectral flow via partial signatures (2004) (39)
A Variational Theory for Light Rays in Stably Causal Lorentzian Manifolds: Regularity and Multiplicity Results (1997) (38)
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres (2011) (38)
Multiplicity of solutions to the Yamabe problem on collapsing Riemannian submersions (2013) (36)
On the Distribution of Conjugate Points along semi-Riemannian Geodesics (2000) (33)
A Generalized Index Theorem for Morse-Sturm Systems and Applications to semi-Riemannian Geometry (1999) (32)
A Morse theory for light rays on stably causal lorentzian manifolds (1998) (32)
An existence theorem for G-structure preserving affine immersions (2006) (25)
On Fermat's principle for causal curves in time oriented Finsler spacetimes (2012) (25)
On the Banach differential structure for sets of maps on non-compact domains (2001) (25)
Almost isometries of non-reversible metrics with applications to stationary spacetimes (2012) (24)
The Fermat principle in general relativity and applications (1999) (24)
Stability of the conjugate index, degenerate conjugate points and the Maslov index in semi-Riemannian geometry (2002) (24)
An Index Theorem for Non‐Periodic Solutions of Hamiltonian Systems (1999) (24)
The Maslov index and a generalized Morse index theorem for non-positive definite metrics (2000) (22)
Orthogonal geodesic chords, brake orbits and homoclinic orbits in Riemannian manifolds (2004) (22)
A Fermat Principle on Lorentzian manifolds and applications (1996) (21)
A note on the uniqueness of solutions for the Yamabe problem (2011) (21)
Naked Singularities Formation in the Gravitational Collapse of Barotropic Spherical Fluids (2003) (21)
Multiple Brake Orbits and Homoclinics in Riemannian Manifolds (2011) (20)
Optimal Control on Riemannian Manifolds by Interpolation (2004) (20)
Bifurcation of periodic solutions to the singular Yamabe problem on spheres (2014) (19)
On a product formula for the Conley–Zehnder index of symplectic paths and its applications (2006) (19)
Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the N-dimensional disk (2010) (19)
CONVEXITY AND THE FINITENESS OF THE NUMBER OF GEODESICS. APPLICATIONS TO THE MULTIPLE-IMAGE EFFECT (1999) (19)
Bifurcation of Constant Mean Curvature Tori in Euclidean Spheres (2009) (19)
Riemannian Submersions with Discrete Spectrum (2010) (18)
Multiple brake orbits in $$m$$m-dimensional disks (2015) (18)
Variational aspects of the geodesics problem in sub-Riemannian geometry ☆ (1999) (18)
Some global properties of static spacetimes (2003) (16)
On a Gromoll-Meyer type theorem in globally hyperbolic stationary spacetimes (2007) (16)
A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry (1999) (16)
Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field (2008) (16)
Actions of discrete groups on stationary Lorentz manifolds (2013) (15)
Bifurcation and symmetry breaking of nodoids with fixed boundary (2014) (15)
Teichmüller theory and collapse of flat manifolds (2017) (15)
Lagrangian and Hamiltonian formalism for constrained variational problems (2000) (14)
A timelike extension of Fermat's principle in general relativity and applications (1998) (14)
On the manifold structure of the set of unparameterized embeddings with low regularity (2010) (14)
A Morse theory for massive particles and photons in general relativity (1999) (14)
Genericity of Nondegeneracy for Light Rays in Stationary Spacetimes (2009) (14)
On the Morse and the Maslov index for periodic geodesics of arbitrary causal character (2001) (13)
Delaunay-type hypersurfaces in cohomogeneity one manifolds (2013) (13)
Naked singularities formation in perfect fluids collapse (2003) (13)
An approach to the relativistic brachistochrone problem by sub-riemannian geometry (1997) (13)
On the Maslov index of symplectic paths that are not transversal to the Maslov cycle. Semi-Riemannian index theorems in the degenerate case (2003) (13)
Infinitely many solutions to the Yamabe problem on noncompact manifolds (2016) (12)
Stability of the Focal and Geometric Index in semi-Riemannian Geometry via the Maslov Index (1999) (12)
On the Equivariant Implicit Function Theorem with Low Regularity and Applications to Geometric Variational Problems (2010) (12)
Exponential Asymptotic Stability for the Klein Gordon Equation on Non-compact Riemannian Manifolds (2018) (12)
An existence theory for relativistic brachistochrones in stationary space–times (1998) (11)
Shortening null geodesics in Lorentzian manifolds. Applications to closed light rays (1998) (11)
Equivariant Bifurcation in Geometric Variational Problems (2013) (10)
Maslov index and Morse theory for the relativistic Lorentz force equation (2004) (10)
A bifurcation result for semi-Riemannian trajectories of the Lorentz force equation (2003) (10)
A General-Relativistic Fermat Principle for Extended Light Sources and Extended Receivers (1998) (10)
On the Geodesical Connectedness for a Class of Semi-Riemannian Manifolds (2000) (10)
On the Singularities of the Exponential Map in Infinite Dimensional Riemannian Manifolds (2004) (10)
On the Finiteness of Light Rays Between a Source and an Observer on Conformally Stationary Space-Times (2001) (10)
Stability and bifurcation for surfaces with constant mean curvature (2017) (9)
An index theory for paths that are solutions of a class of strongly indefinite variational problems (2001) (9)
Comparison results for conjugate and focal points in semi-Riemannian geometry via Maslov index (2008) (9)
Examples with minimal number of brake orbits and homoclinics in annular potential regions (2014) (9)
Genericity of nondegenerate critical points and Morse geodesic functionals (2008) (9)
Curvature Estimates for Submanifolds in Warped Products (2010) (9)
BIFURCATION OF CLIFFORD TORI IN BERGER 3-SPHERES (2014) (8)
Nonuniqueness of Conformal Metrics With Constant Q-curvature (2018) (8)
Conjugate points and Maslov index in locally symmetric semi-Riemannian manifolds (2005) (8)
Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles (2018) (8)
The single-leaf Frobenius Theorem with Applications (2005) (7)
DEFORMING SOLUTIONS OF GEOMETRIC VARIATIONAL PROBLEMS WITH VARYING SYMMETRY GROUPS (2014) (7)
Morse Theory for geodesics in singular conformal metrics (2014) (7)
On the Maslov and the Morse index for constrained variational problems (2002) (7)
On the equality between the Maslov index and the spectral index for the Semi-Riemannian Jacobi operator (2002) (7)
On the existence of light-like geodesics on conformally stationary Lorentzian manifolds (1997) (7)
Multiple orthogonal geodesic chords and a proof of Seifert's conjecture on brake orbits (2020) (6)
Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint (2020) (6)
Deformations of Free Boundary CMC Hypersurfaces (2014) (6)
On a formula for the spectral flow and its applications (2008) (6)
Functions on the sphere with critical points in pairs and orthogonal geodesic chords (2015) (6)
Existence of geodesics in static Lorentzian manifolds with convex boundary (2000) (6)
On bifurcation and local rigidity of triply periodic minimal surfaces in $\mathbb R^3$ (2014) (6)
On the isometry group and the geometric structure of compact stationary Lorentzian manifolds (2010) (6)
On the Multiplicity of Orthogonal Geodesics in Riemannian Manifold With Concave Boundary. Applications to Brake Orbits and Homoclinics (2009) (5)
Full Laplace spectrum of distance spheres in symmetric spaces of rank one (2020) (5)
New mathematical framework for spherical gravitational collapse (2002) (5)
Index theorems for symplectic systems (2001) (5)
Pseudo Focal Points Along Lorentzian Geodesics and Morse Index (2007) (5)
On the spectral flow in Lorentzian manifolds (2003) (5)
Complementary Lagrangians in infinite dimensional symplectic Hilbert spaces. (2004) (5)
The First Eigenvalue of a Homogeneous CROSS (2020) (5)
Maslov index in semi-Riemannian submersions (2009) (5)
On the Lie group structure of pseudo-Finsler isometries (2013) (4)
On the Omori-Yau Maximum Principle in Riemannian submersions (2011) (4)
A generalization of Yoshida–Nicolaescu theorem using partial signatures (2006) (4)
Multiple solutions for the Van der Waals–Allen–Cahn–Hilliard equation with a volume constraint (2019) (4)
On the semi‐Riemannian bumpy metric theorem (2009) (4)
Existence, multiplicity, and regularity for sub-Riemannian geodesics by variational methods (2001) (4)
Iteration of closed geodesics in stationary Lorentzian manifolds (2007) (3)
Partial Signatures and the Yoshida-Nicolaescu Theorem (2005) (3)
Morse theory for the travel time brachistochrones in stationary spacetimes (1999) (3)
Gravitational lensing in general relativity via bifurcation theory (2004) (3)
Associated Family of G-Structure Preserving Minimal Immersions in Semi-Riemannian Manifolds (2011) (3)
Equivariant deformations of Hamiltonian stationary Lagrangian submanifolds (2013) (3)
The arrival time brachistochrones in general relativity (2002) (3)
On the normal exponential map in singular conformal metrics (2015) (3)
On a monodromy theorem for sheaves of local fields and applications (2015) (3)
On the multiplicity of brake orbits and homoclinics in Riemannian manifolds (2005) (3)
Connections compatible with tensors. A characterization of left-invariant Levi--Civita connections in Lie groups (2005) (2)
An algebraic theory for generalized Jordan chains and partial signatures in the Lagrangian Grassmannian (2010) (2)
An intrinsic approach to Ljusternik-Schnirelman theory for light rays on Lorentzian manifolds (1999) (2)
Deformations of free boundary CMC hypersurfaces and applications (2014) (2)
Global bifurcation for a class of nonlinear ODEs (2021) (2)
A variational theory for light rays in convex subsets of stably causal Lorentzian manifolds (1997) (2)
Constrained Lagrangians and degenerate Hamiltonians on manifolds: an index theorem (2002) (2)
A variational problem for manifold valued functions (2000) (2)
Attouch-Wets convergence and Kuratowski convergence on compact sets (1995) (2)
Morse theory for normal geodesics in sub-Riemannian manifolds with codimension one distributions (2003) (2)
Time Extremizing Trajectories of Massive and Massless Objects in General Relativity (2000) (1)
On the Least Action Principle – Hamiltonian Dynamics on Fixed Energy Levels in the Non-convex Case (2006) (1)
Instability and Bifurcation (2020) (1)
On the Isometry Group of Lorentz Manifolds (2012) (1)
A finite dimensional approach to light rays in General Relativity (2018) (1)
On the number of solutions for the two-point boundary value problem on Riemannian manifolds (2004) (1)
Multiplicity results for orthogonal geodesic chords and applications (2014) (1)
On the Isotropic Reduction Method and the Maslov Index (2008) (1)
A variational theory for hight rays on Lorentz manifolds (1997) (1)
Multiple brake orbits in $\mathbf m$-dimensional disks (2015) (1)
Flat manifolds and reducibility (2019) (1)
Spectral flow and iteration of closed semi-Riemannian geodesics (2007) (1)
The essential Lagrangian–Grassmannian and the homotopy type of the Fredholm Lagrangian–Grassmannian (2006) (1)
Semi-Riemannian submersions and Maslov index (2009) (1)
Kähler manifolds with geodesic holomorphic gradients (2017) (1)
Maximally-warped metrics with harmonic curvature (2018) (1)
Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert (2012) (1)
Time minimizing trajectories in Lorentzian geometry: the general-relativistic brachistochrone problem (1998) (0)
A few brief comments on the results of manuscript arXiv:math/0405153v3 (2007) (0)
Periodic Geodesics and Geometry of Compact Stationary Lorentzian Manifolds (2008) (0)
Opening note: An homage to Manfredo P. do Carmo (2020) (0)
Deformations of Free Boundary CMC Hypersurfaces (2017) (0)
A HOMOLOGICAL INVARIANT IN THE RELATIVISTIC RAYS OPTICS (2002) (0)
On The Closed Geodesics Problem (2008) (0)
Harmonic-curvature warped products over surfaces (2022) (0)
Non-linear o.d.e. techniques in Gravitational Collapse (2006) (0)
Topological methods for ODES'S :: symplectic differential systems (2003) (0)
PSEUDO FOCAL POINTS ALONG LORENTZIAN GEODESICS (2009) (0)
Exponential Asymptotic Stability for the Klein Gordon Equation on Non-compact Riemannian Manifolds (2017) (0)
Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles (2018) (0)
DEFORMING SOLUTIONS OF GEOMETRIC VARIATIONAL PROBLEMS WITH VARYING SYMMETRY GROUPS (2014) (0)
On the relative category in the brake orbits problem (2023) (0)
Actions of discrete groups on stationary Lorentzprotect unhbox voidb@x penalty @M {}manifolds (2013) (0)
Riemannian Submersions with Discrete Spectrum (2010) (0)
Periodic Trajectories of Dynamical Systems Having a One-Parameter Group of Symmetries (2017) (0)
Comment on "Spherically symmetric perfect fluid in area-radial coordinates" by Iguchi et al (2004) (0)
STRENGTHENING MATHEMATICS IN THE DEVELOPING WORLD (2019) (0)
Nonplanar minimal spheres in ellipsoids of revolution (2021) (0)
COMPACT RIEMANNIAN FOUR-MANIFOLDS WITH HARMONIC CURVATURE (2016) (0)
Teichmüller theory and collapse of flat manifolds (2018) (0)
On a monodromy theorem for sheaves of local fields and applications (2016) (0)
Multiple solutions for the Van der Waals–Allen–Cahn–Hilliard equation with a volume constraint (2020) (0)
ON THE EXISTENCE OF LOCAL CMC TIME FUNCTIONS WITH PRESCRIBED TIME SLICE (2014) (0)
On the Homotopy Type of the Fredholm Lagrangian Grassmannian (2005) (0)
Subspace foliations and collapse of closed flat manifolds (2020) (0)
Global bifurcation for a class of nonlinear ODEs (2022) (0)
THE SINGLE-LEAF FROBENIUS THEOREM (0)
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres (2012) (0)
Multiplicity results for orthogonal geodesic chords and applications (2014) (0)
Parallel focal points and the Morse index theorem in Lorentzian manifolds (2007) (0)
Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds (2022) (0)
Bifurcation of Constant Mean Curvature Tori in Euclidean Spheres (2011) (0)

This paper list is powered by the following services:

Other Resources About Paolo Piccione

en.wikipedia.org

What Schools Are Affiliated With Paolo Piccione?

Paolo Piccione is affiliated with the following schools: