Hans Werner Ballmann | Academic Influence

Hans Werner Ballmann's AcademicInfluence.com Rankings

Hans Werner Ballmann

Mathematics

#1949

World Rank

#3089

Historical Rank

Measure Theory

#3241

World Rank

#3832

Historical Rank

mathematics Degrees

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Mathematics

Hans Werner Ballmann's Degrees

PhD Mathematics University of Bonn

Why Is Hans Werner Ballmann Influential?

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According to Wikipedia, Hans Werner Ballmann is a German mathematician. His area of research is differential geometry with focus on geodesic flows, spaces of negative curvature as well as spectral theory of Dirac operators

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Hans Werner Ballmann'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

Manifolds of Nonpositive Curvature (1985) (830)
Lectures on Spaces of Nonpositive Curvature (1995) (599)
On L2-cohomology and Property (T) for Automorphism Groups of Polyhedral Cell Complexes (1997) (153)
Nonpositively curved manifolds of higher rank (1985) (149)
Orbihedra of nonpositive curvature (1995) (126)
Lectures on Kähler Manifolds (2006) (112)
Closed geodesics on positively curved manifolds (1982) (97)
Boundary value problems for elliptic differential operators of first order (2011) (92)
Axial isometries of manifolds of non-positive curvature (1982) (84)
Existence of closed geodesics on positively curved manifolds (1983) (74)
AUTOMORPHISM GROUPS (2011) (72)
On the Dirichlet Problem at Infinity for Manifolds of Nonpositive Curvature (1989) (68)
Polygonal complexes and combinatorial group theory (1994) (67)
Amenable isometry groups of Hadamard spaces (1998) (62)
FUNDAMENTAL GROUPS OF MANIFOLDS OF NONPOSITIVE CURVATURE (1987) (58)
Manifolds of non positive curvature (1985) (56)
On surfaces with no conjugate points (1987) (52)
Singular Spaces of Non-Positive Curvature (1990) (51)
The Poisson boundary for rank one manifolds and their cocompact lattices (1994) (48)
Periodic rank one geodesics in Hadamard spaces (2008) (43)
Nonpositively curved metrics on 2-polyhedra (1996) (41)
DISCRETIZATION OF POSITIVE HARMONIC FUNCTIONS ON RIEMANNIAN MANIFOLDS AND MARTIN BOUNDARY (1996) (41)
Closed geodesics and the fundamental group (1981) (40)
Guide to Elliptic Boundary Value Problems for Dirac-Type Operators (2016) (32)
On the differentiability of horocycles and horocycle foliations (1987) (25)
On the ergodicity of geodesic flows (1982) (23)
On the number of closed geodesics on a compact Riemannian manifold (1982) (22)
Regularity and index theory for Dirac-Schrödinger systems with Lipschitz coefficients (2007) (20)
On the spectral theory of manifolds with cusps (2001) (20)
Diameter rigidity of spherical polyhedra (1999) (18)
Rank rigidity of Euclidean polyhedra (2000) (18)
On groups acting on nonpositively curved cubical complexes (1999) (17)
Eigenvalues and holonomy (2002) (17)
An estimate for the measure theoretic entropy of geodesic flows (1989) (16)
On the bottom of spectra under coverings (2017) (14)
Small eigenvalues of surfaces of finite type (2015) (12)
Small eigenvalues of closed surfaces (2016) (12)
Some existence theorems for closed geodesics (1983) (11)
Guide to Boundary Value Problems for Dirac-Type Operators (2013) (11)
ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES (1984) (10)
Index theorems on manifolds with straight ends (2010) (10)
On the lengths of closed geodesics on convex surfaces (1983) (10)
On the analytic systole of Riemannian surfaces of finite type (2016) (7)
On the Spectral Theory of Surfaces with Cusps (2003) (7)
VECTOR BUNDLES AND CONNECTIONS (2010) (7)
On the Construction of Isospectral Manifolds (2004) (7)
RICCATI EQUATION AND VOLUME ESTIMATES (2016) (7)
Analytic manifolds of nonpositive curvature (1985) (7)
Bottom of Spectra and Amenability of Coverings (2018) (5)
On the essential spectrum of differential operators over geometrically finite orbifolds (2021) (4)
Bottom of spectra and coverings. (2019) (4)
SPACES OF NONPOSITIVE CURVATURE (2005) (4)
THE MARTIN BOUNDARY OF CERTAIN HADAMARD MANIFOLDS (2005) (4)
Closed geodesics on positively curved Finsler spheres (2018) (3)
A volume estimate for piecewise smooth metrics on simplicial complexes (1996) (3)
Equivariant discretizations of diffusions, random walks, and harmonic functions (2019) (3)
Small eigenvalues of surfaces - old and new (2017) (3)
Bottom of spectra and coverings of orbifolds (2021) (2)
Topology of analytic manifolds of nonpositive curvature (1985) (2)
Introduction to Geometry and Topology (2018) (2)
Equivariant discretizations of diffusions and harmonic functions of bounded growth (2020) (1)
Small eigenvalues of Schr\"odinger operators over geometrically finite manifolds (2021) (1)
On the Dirichlet problem at infinity for manifolds of non-positive curvature (résumé) (1989) (1)
BASIC DIFFERENTIAL GEOMETRY: RIEMANNIAN IMMERSIONS AND SUBMERSIONS (2009) (1)
Structure of manifolds of nonpositive sectional curvature (1986) (1)
On the differential form spectrum of geometrically finite orbifolds. (2020) (1)
Book Review: Riemannian Geometry and Geometric Analysis@@@Book Review: Riemannian Geometry@@@Book Review: Riemannian Geometry (2000) (1)
Bieberbach groups and a proof of the Margulis Lemma (1985) (0)
Equivariant discretizations of diffusions and harmonic functions of bounded growth (2022) (0)
First Steps in Topology (2018) (0)
The Boundary at Infinity (1995) (0)
BASIC DIFFERENTIAL GEOMETRY: SEMI-RIEMANNIAN METRICS (2009) (0)
The Tits metric on X( (1985) (0)
BASIC GEOMETRY OF SUBMANIFOLDS (2011) (0)
Rigidity and extensions of isometric maps (1985) (0)
BASIC DIFFERENTIAL GEOMETRY: CONNECTIONS AND GEODESICS (2011) (0)
Mostow’s rigidity theorem and its generalization. An outline of the proof (1985) (0)
On the spectrum of Hadamard manifolds (2023) (0)
The Geometry of Submanifolds (2018) (0)
On the bottom of spectra under coverings (2017) (0)
Small eigenvalues of surfaces (2014) (0)
COMPLETE INTEGRABILITY OF HAMILTONIAN SYSTEMS AFTER ANTON THIMM (2015) (0)
Hodge classes on self-products of K 3 surfaces (2009) (0)
On the analytic systole of Riemannian surfaces of finite type (2017) (0)
Asymptotic behavior of quadratic differentials (2010) (0)
On the Interior Geometry of Metric Spaces (1995) (0)
First and Second Variation of Arc Length (2011) (0)
Local geometry and convexity (1985) (0)
The theorem of Hadamard-Cartan and complete simply connected manifolds of nonpositive curvature (1985) (0)
On Eta-functions for nilmanifolds (2014) (0)
GEOMETRIC STRUCTURES (2011) (0)
Differential Forms and Cohomology (2018) (0)
Proof of the rigidity theorem (1985) (0)
HOMOGENEOUS STRUCTURES (2007) (0)
Discrete groups of isometries and the Margulis lemma (1985) (0)
Manifolds of bounded negative curvature (1985) (0)
Special groups of isometries (1985) (0)
Teichmüller curves in the Deligne-Mumford compactification (2008) (0)
Stable isometries. essential volume and essential volume of stable submanifolds (1985) (0)

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