Keti Tenenblat | Academic Influence

Keti Tenenblat's AcademicInfluence.com Rankings

Keti Tenenblat

Mathematics

#3223

World Rank

#4809

Historical Rank

Differential Geometry

#50

World Rank

#59

Historical Rank

Geometry

#124

World Rank

#190

Historical Rank

Group Theory

#227

World Rank

#268

Historical Rank

mathematics Degrees

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Mathematics

Keti Tenenblat's Degrees

PhD Mathematics University of São Paulo
Masters Mathematics University of São Paulo
Bachelors Mathematics University of São Paulo

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Why Is Keti Tenenblat Influential?

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According to Wikipedia, Keti Tenenblat is a Turkish-Brazilian mathematician working on Riemannian geometry, the applications of differential geometry to partial differential equations, and Finsler geometry. Together with Chuu-Lian Terng, she generalized Backlund theorem to higher dimensions.

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Keti Tenenblat'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

On isometric immersions of riemannian manifolds (1971) (293)
Pseudospherical surfaces and evolution equations (1986) (171)
Bäcklund Transformations and Inverse Scattering Solutions for Some Pseudospherical Surface Equations (1989) (136)
Bäcklund's Theorem for n-Dimensional Submanifolds of R 2n - 1 (1980) (122)
Transformations of Manifolds and Applications to Differential Equations (1998) (106)
Conservation laws for nonlinear evolution equations (1988) (77)
On Differential Equations Describing Pseudo-Spherical Surfaces (1995) (63)
On the solution of the generalized wave and generalized spine-gordon equations (1986) (53)
Bäcklund's theorem for submanifolds of space forms and a generalized wave equation (1985) (45)
On solutions of the Ricci curvature equation and the Einstein equation (2009) (44)
On spherically symmetric Finsler metrics with vanishing Douglas curvature (2013) (43)
A Bernstein type theorem on a Randers space (2004) (42)
Minimal surfaces of rotation in Finsler space with a Randers metric (2003) (40)
Foliations on a surface of constant curvature and the modified Korteweg-de Vries equations (1981) (39)
Laplace transformation in higher dimensions (1996) (35)
On gradient Ricci solitons conformal to a pseudo-Euclidean space (2014) (31)
Ribaucour transformations for constant mean curvature and linear Weingarten surfaces (2003) (29)
Linear Problems Associated with Evolution Equations of the Type utt = F(u, ux, uxx, ut) (1987) (28)
On equations of type uxt=F(u,ux) which describe pseudospherical surfaces (1990) (27)
Differential geometry : a symposium in honour of Manfredo do Carmo (1991) (26)
On Differential Systems Describing Surfaces of Constant Curvature (2002) (26)
A classification of pseudospherical surface equations of type ut=uxxx+G(u,ux,uxx) (1992) (23)
Third order differential equations describing pseudospherical surfaces (2015) (19)
A characterization of Moebius isoparametric hypersurfaces of the sphere (2009) (18)
Submanifolds of constant sectional curvature in Pseudo-Riemannian manifolds (1996) (18)
Inverse Scattering and the Bäcklund Transformation for the Generalized Wave and Generalized Sine‐Gordon Equations (1988) (18)
Fourth order evolution equations which describe pseudospherical surfaces (2014) (17)
LOCAL SYMPLECTIC INVARIANTS FOR CURVES (2009) (16)
On the Ricci and Einstein equations on the pseudo-euclidean and hyperbolic spaces (2006) (15)
On Dupin hypersurfaces with constant Möbius curvature (2008) (15)
Ribaucour Transformations for Hypersurfaces in Space Forms (2006) (14)
On gradient Yamabe solitons conformal to a pseudo-Euclidian space (2018) (14)
Ribaucour Transformations Revisited (2004) (13)
On Ribaucour transformations and applications to linear Weingarten surfaces (2002) (13)
Conformal metrics and ricci tensors on the sphere (2004) (13)
Rigidity for complete Weingarten hypersurfaces (1989) (13)
Periodic systems for the higher-dimensional Laplace transformation (1998) (13)
On the symmetry groups of the intrinsic generalized wave and sine–Gordon equations (1993) (12)
Conformal metrics and Ricci tensors in the pseudo-Euclidean space (2000) (12)
Helicoidal flat surfaces in hyperbolic 3-space (2013) (12)
Ribaucour transformations for flat surfaces in the hyperbolic 3-space☆ (2014) (11)
A higher dimension generalization of the Sine-Gordon equation and its Bäcklund transformation (1979) (11)
On four dimensional Dupin hypersurfaces in Euclidean space (2003) (11)
Dupin Hypersurfaces in ${{\mathbb{R}}^{5}}$ (2005) (10)
Backlund transformations for a class of systems of differential equations (1994) (9)
The Symmetry Group of Lamé's System and the Associated Guichard Nets for Conformally Flat Hypersurfaces (2013) (9)
A connection between flat fronts in hyperbolic space and minimal surfaces in Euclidean space (2015) (9)
Lawson correspondence and Ribaucour transformations (2012) (9)
On infinitesimal isometric deformations (1979) (8)
Soliton solutions to the curve shortening flow on the sphere (2019) (8)
Ribaucour Transformations Revisted (2004) (8)
A class of solutions of the Ricci and Einstein equations (2007) (8)
New constant mean curvature surfaces in the hyperbolic space (2009) (8)
On metrics satisfying equation for constant tensors T (2002) (8)
On Ribaucour transformations and minimal surfaces (7)
Minimal Surfaces in a cylindrical region of R3 with a Randers metric (2011) (7)
Noncompact quasi‐Einstein manifolds conformal to a Euclidean space (2019) (7)
A rigidity theorem for three-dimensional submanifolds in Euclidean six-space (1979) (7)
Solutions of multidimensional extensions of the anti-self-dual Yang-Mills equation (1987) (6)
Helicoidal Minimal Surfaces in a Finsler Space of Randers Type (2014) (6)
On Ribaucour transformations (2001) (6)
Reduction of the codimension of isometric immersions in space forms (1986) (6)
The mean curvature flow by parallel hypersurfaces (2017) (6)
Local Isometric Immersions of Pseudo-Spherical Surfaces and Evolution Equations (2015) (6)
On the total curvature of curves in a Minkowski space (2012) (6)
On Bäcklund and Ribaucour transformations for surfaces with constant negative curvature (2016) (6)
Second-order equations and local isometric immersions of pseudo-spherical surfaces (2013) (6)
Ricci almost solitons on semi‐Riemannian warped products (2017) (5)
A note on solutions for the intrinsic generalized wave and sine-Gordon equations (1992) (5)
A characterization of Laguerre isoparametric hypersurfaces of the Euclidian space (2014) (5)
Surfaces of Rotation with Constant Mean Curvature in the Direction of a Unitary Normal Vector Field in a Randers Space (2012) (4)
On a class of Dupin hypersurfaces in $$R^5$$ with nonconstant Lie curvature (2014) (4)
A class of quasilinear second order partial differential equations which describe spherical or pseudospherical surfaces (2019) (4)
Hydrodynamic Systems and the Higher-Dimensional Laplace Transformations of Cartan Submanifolds (2001) (3)
Submanifolds of constant nonpositive curvature (1991) (3)
Addenda and Corrigenda to “On the Solution of the Generalized Wave and Generalized Sine-Gordon Equations” (1987) (3)
On submanifolds with parallel mean curvature vector (2009) (3)
Local isometric immersions of pseudo-spherical surfaces and kth order evolution equations (2017) (3)
On Dupin Hypersurfaces in R5 Parametrized by Lines of Curvature (2016) (3)
Hypersurfaces with flat r-mean curvature and Ribaucour transformations (2007) (2)
On characteristic hypersurfaces of submanifolds in Euclidean space. (1978) (2)
Soliton Solutions to the Curve Shortening Flow on the 2-dimensional hyperbolic plane (2021) (2)
New minimal surfaces in the hyperbolic space (2017) (2)
Backlund's theorem for n-dimensional submanifolds of space forms (1979) (1)
On Generalized quasi-Einstein Manifolds (2021) (1)
Ribaucour type transformations for the Hessian one equation (2015) (1)
A note on isometric immersions and differential equations which describe pseudospherical surfaces. (2019) (1)
On a class of systems of hyperbolic equations describing pseudo-spherical or spherical surfaces (2021) (1)
Manfredo P. Do Carmo - Selected Papers (2012) (1)
Dupin hypersurfaces with constant Laguerre curvatures (2017) (1)
A unified approach to Bäcklund type theorems for surfaces in 3-dimensional pseudo-euclidean space (2022) (1)
GAUGE EQUIVALENCE OF DIFFERENTIAL EQUATIONS DESCRIBING SURFACES OF CONSTANT GAUSSIAN CURVATURE (1)
On gradient Ricci solitons conformal to a pseudo-Euclidean space (2014) (1)
Isometric immersions and differential equations describing pseudospherical surfaces (2022) (1)
On the Ricci curvature equation and the Einstein equation for diagonal tensors (2011) (1)
A connection between flat fronts in hyperbolic space and minimal surfaces in Euclidean space (2015) (0)
On Klingenberg's theorem (1973) (0)
On Differential Equations Describing 3-Dimensional Hyperbolic Spaces (2006) (0)
On Hypersurfaces with Zero r-Mean Curvature (2008) (0)
Closed manifolds with small excess (2001) (0)
Conformal and Quasi-Einstein Metrics on Pseudo-Euclidean Space (2009) (0)
On the Rauch comparison theorem for volumes (1973) (0)
Superposition formulae for the geometric B\"acklund transformations of the hyperbolic and elliptic sine-Gordon and sinh-Gordon equations (2022) (0)
On Dupin Hypersurfaces in R5 Parametrized by Lines of Curvature (2016) (0)
New minimal surfaces in the hyperbolic space (2017) (0)
A characterization of Laguerre isoparametric hypersurfaces of the Euclidian space (2014) (0)
An estimate for the length of closed geodesics on a riemannian manifold (1973) (0)
Transformations for Hypersurfaces with Vanishing Gauss-Kronecker Curvature (2005) (0)
D G ] 5 O ct 2 01 7 THE MEAN CURVATURE FLOW BY PARALLEL HYPERSURFACES Hiuri Fellipe (2017) (0)
Dupin hypersurfaces with constant Laguerre curvatures (2017) (0)
Self-similar solutions to the curvature flow and its inverse on the 2-dimensional light cone (2021) (0)
On Bäcklund and Ribaucour transformations for surfaces with constant negative curvature (2015) (0)
On the total curvature of curves in a Minkowski space (2012) (0)

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