László Lempert

Q: What Schools Are Affiliated With László Lempert

László Lempert is affiliated with the following schools: University of California, Berkeley, Eötvös Loránd University, Purdue University

László Lempert's AcademicInfluence.com Rankings

László Lempert

Mathematics

#5041

World Rank

#7126

Historical Rank

#1684

USA Rank

Measure Theory

#3653

World Rank

#4310

Historical Rank

#1053

USA Rank

mathematics Degrees

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Mathematics

László Lempert's Degrees

PhD Mathematics Eötvös Loránd University

Why Is László Lempert Influential?

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According to Wikipedia, László Lempert is a Hungarian-American mathematician, working in several complex variables and complex geometry. He proved that the Carathéodory and Kobayashi distances agree on convex domains. He further proved that a compact, strictly pseudoconvex real analytic hypersurface can be embedded into the unit sphere of a Hilbert space.

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László Lempert'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

Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds (1991) (189)
On the group of holomorphic automorphisms of ℂn (1992) (189)
Holomorphic retracts and intrinsic metrics in convex domains (1982) (157)
The Dolbeault complex in infinite dimensions I (1998) (94)
Algebraic approximations in analytic geometry (1995) (82)
On three-dimensional Cauchy-Riemann manifolds (1992) (75)
Weak geodesics in the space of K\"ahler metrics (2011) (74)
A proof of the Ohsawa–Takegoshi theorem with sharp estimates (2014) (73)
Algebraic approximations of holomorphic maps from Stein domains to projective manifolds (1992) (68)
Solving the degenerate complex Monge-Ampère equation with one concentrated singularity (1983) (68)
Geodesics in the space of Kähler metrics (2011) (64)
Approximation of holomorphic functions of infinitely many variables II (2000) (57)
Holomorphic invariants, normal forms, and the moduli space of convex domains (1988) (48)
Complex Structures on the Tangent Bundle of Riemannian Manifolds (1993) (41)
Modules of Square Integrable Holomorphic Germs (2014) (40)
A precise result on the boundary regularity of biholomorphic mappings (1986) (39)
Symmetries and other transformations of the complex Monge-Ampère equation (1985) (39)
On the Boundary Behavior of Holomorphic Mappings (1986) (36)
Loop spaces as complex manifolds (1993) (34)
Embeddings of three dimensional Cauchy-Riemann manifolds (1994) (34)
Analytic sheaves in Banach spaces (2005) (34)
The Dolbeault complex in infinite dimensions III. Sheaf cohomology in Banach spaces (2000) (32)
The Tangent Bundle of an Almost Complex Manifold (2001) (31)
Direct Images, Fields of Hilbert Spaces, and Geometric Quantization (2010) (30)
AN EXTREMAL PROBLEM FOR POLYNOMIALS (1994) (29)
On Riemannian submersions (2019) (27)
The Dolbeault complex in infinite dimensions. II (1998) (22)
A note on the instability of embeddings of Cauchy-Riemann manifolds (1992) (21)
Approximation de fonctions holomorphes d'un nombre infini de variables (1999) (19)
A $C\sp \infty$ Schwarz reflection principle in one and several complex variables (1990) (18)
A new look at adapted complex structures (2010) (18)
Imbedding Strictly Pseudo Convex Domains Into a Ball (1982) (18)
The Virasoro group as a complex manifold (1995) (18)
IMBEDDING CAUCHY-RIEMANN MANIFOLDS INTO A SPHERE (1990) (17)
Rationally Connected Varieties and Loop Spaces (2005) (17)
An independence result in several complex variables (1991) (13)
Dolbeault cohomology of a loop space (2004) (12)
VANISHING COHOMOLOGY FOR HOLOMORPHIC VECTOR BUNDLES IN A BANACH SETTING (2004) (12)
A maximum principle for hermitian (and other) metrics (2013) (11)
Analytic continuation in mapping spaces (2008) (8)
Boundary behaviour of meromorphic functions of several variables (1980) (8)
Riemannian geometry in infinite dimensional spaces (2017) (7)
Uniqueness in geometric quantization (2010) (7)
Curvature of fields of quantum Hilbert spaces (2012) (7)
The Cauchy-Riemann equations in infinite dimensions (1998) (6)
STATIONARY DISCS GLUED TO A LEVI NON-DEGENERATE HYPERSURFACE (2009) (5)
Isometries in spaces of K\"ahler potentials (2017) (5)
Isometries in spaces of Kähler potentials (2019) (5)
A note on mapping polydiscs into balls and vice versa (1979) (5)
A note on holomorphic approximation in Banach spaces (2008) (5)
Analytic cohomology in Fréchet spaces (2003) (5)
On the cohomology groups of holomorphic Banach bundles (2008) (4)
SCHWARZ REFLECTION PRINCIPLE IN ONE AND SEVERAL COMPLEX VARIABLES (2008) (4)
The principle of least action in the space of Kähler potentials (2020) (4)
Coherent Sheaves and Cohesive Sheaves (2008) (3)
Extrapolation, a technique to estimate (2015) (3)
Analytic cohomology groups of infinite dimensional complex manifolds (2013) (3)
On the adjoint action of the group of symplectic diffeomorphisms (2020) (3)
Holomorphic approximation in Fréchet spaces (2003) (2)
On Complex Legendre Duality (2017) (2)
Noncommutative potential theory (2016) (1)
On the Bergman kernels of holomorphic vector bundles (2021) (1)
To the geometry of spaces of plurisubharmonic functions on a K\"ahler manifold (2022) (1)
On Fréchet Spaces with a Dominant Norm (2002) (1)
The $\bar{\partial}$ equation in $N$ variables, as $N$ varies (2004) (1)
Adapted complex and involutive structures (2019) (1)
Spaces of Cauchy–Riemann Manifolds (1997) (1)
A precise result on the boundary regularity of biholomorphic mappings (1986) (1)
On Complex Legendre Duality (2017) (0)
Aron--Berner--type extension in complex Banach manifolds (2023) (0)
Book Review: Invariant distances and metrics in complex analysis (1995) (0)
A pr 2 01 0 UNIQUENESS IN GEOMETRIC QUANTIZATION (2010) (0)
Representing analytic cohomology groups of complex manifolds (2013) (0)
C V ] 4 M ay 2 01 2 WEAK GEODESICS IN THE SPACE OF KÄHLER METRICS (2014) (0)
Imbedding pseudohermitian manifolds into a sphere (1991) (0)
2 1 Ju l 2 00 5 Rationally Connected Varieties and Loop Spaces ∗ (2005) (0)
Noncommutative potential theory (2017) (0)
Direct Images, Fields of Hilbert Spaces, and Geometric Quantization (2014) (0)
On Riemannian submersions (2019) (0)
Geometric regularity versus analytic regularity higher codimensional case (1990) (0)

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What Schools Are Affiliated With László Lempert?

László Lempert is affiliated with the following schools:

László Lempert's Academic­Influence.com Rankings