Robert Everist Greene

Robert Everist Greene's AcademicInfluence.com Rankings

Mathematics

#1874

World Rank

#2980

Historical Rank

Measure Theory

#1913

World Rank

#2329

Historical Rank

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Mathematics

Why Is Robert Everist Greene Influential?

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According to Wikipedia, Robert Everist Greene is an American mathematician at UCLA. Greene was an undergraduate at Michigan State University and a Putnam Fellow in 1963. He completed his Ph.D. at the University of California, Berkeley in 1969. His doctoral advisor was Hung-Hsi Wu; his doctoral thesis was titled Isometric Embeddings of Riemannian and Pseudo-Riemannian Manifolds.

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Robert Everist Greene'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

Function theory on manifolds which possess a pole (1979) (603)
Several complex variables and complex geometry (1991) (342)
Function Theory of One Complex Variable (2002) (267)
Differential Geometry: Partial Differential Equations on Manifolds (1993) (185)
Lipschitz convergence of Riemannian manifolds. (1988) (179)
C∞ convex functions and manifolds of positive curvature (1976) (141)
Deformation of complex structures, estimates for the ∂ equation, and stability of the Bergman kernel (1982) (111)
Integrals of subharmonic functions on manifolds of nonnegative curvature (1974) (109)
$C^\infty $ approximations of convex, subharmonic, and plurisubharmonic functions (1979) (98)
Gap theorems for noncompact Riemannian manifolds (1982) (96)
Embedding of open riemannian manifolds by harmonic functions (1975) (94)
Diffeomorphisms and volume-preserving embeddings of noncompact manifolds (1979) (90)
The Geometry of Complex Domains (2011) (89)
Isometric embeddings of Riemannian and pseudo-Riemannian manifolds (1970) (73)
Complete metrics of bounded curvature on noncompact manifolds (1978) (67)
Convex functions on complete noncompact manifolds: Topological structure (1981) (63)
A NNALES SCIENTIFIQUES DE L ’ É . N . S . C ∞ approximations of convex, subharmonic, and plurisubharmonic functions (2017) (63)
Biholomorphic self-maps of domains (1987) (52)
The automorphism groups of strongly pseudoconvex domains (1982) (52)
Introduction to Topology (1983) (45)
On Kähler Manifolds of positive bisectional curvature and a theorem of Hartogs (1978) (44)
Characterizations of certain weakly pseudoconvex domains with non-compact automorphism groups (1987) (42)
STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS (1981) (41)
Little topology, big volume (1992) (40)
Riemannian manifolds of faster-than-quadratic curvature decay (1994) (33)
Normal families and the semicontinuity of isometry and automorphism groups (1985) (31)
Convex functions on complete noncompact manifolds : differentiable structure (1981) (30)
ISOMETRIC EMBEDDINGS (2007) (25)
Analytic isometric embeddings (1971) (25)
Curvature and complex analysis. III (1971) (24)
Fixed points of map extensions (1989) (17)
A Genealogy of Noncompact Manifolds of Nonnegative Curvature: history and Logic (1997) (16)
The stability of the Bergman kernel and the geometry of the Bergman metric (1981) (16)
Several Complex Variables and Complex Geometry, Part 1 (1991) (16)
Harmonic forms on noncompact Riemannian and Kähler manifolds. (1981) (16)
An Interior Fixed Point Property of the Disc (1994) (14)
Approximation theorems, $C^ \infty$ convex exhaustions and manifolds of positive curvature (1975) (12)
On the Rigidity of Punctured Ovaloids (1971) (12)
Semicontinuity of automorphism groups of strongly pseudoconvex domains: the low differentiability case (2011) (12)
Differential Geometry: Geometry in Mathematical Physics and Related Topics (1993) (11)
On a new gap phenomenon in riemannian geometry. (1982) (11)
On the rigidity of punctured ovaloids. II (1972) (8)
Stably-interior points and the Semicontinuity of the Automorphism group (2013) (7)
Differential Geometry: Riemannian Geometry (1993) (7)
The isometry groups of manifolds admitting nonconstant convex functions (1987) (6)
Lecture no (2007) (6)
The Riemann mapping theorem from Riemann’s viewpoint (2016) (6)
Recent Developments in Geometry (1989) (5)
Several Complex Variables and Complex Geometry, Part 3 (1991) (5)
Bloch's theorem for meromorphic functions (1970) (5)
COMPLETE LOCALIZATION OF DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS (2009) (4)
Review: S. Gallot, D. Hulin and J. Lafontaine, Riemannian geometry (1989) (4)
Relative isometric embeddings of Riemannian manifolds (2011) (4)
Metrics and isometric embeddings of the 2-sphere (1971) (4)
FUNCTION THEORY OF NONCOMPACT KÄHLER MANIFOLDS OF NONPOSITIVE CURVATURE (1982) (3)
The Riemann mapping theorem from Riemann’s viewpoint (2017) (2)
Homotopy finiteness theorems and Helly’s theorem (1994) (2)
On flat hermitian metrics on the unit disc (1970) (2)
Smooth realizations of relative Nielsen numbers (1995) (2)
Geometry in mathematical physics and related topics (1993) (2)
Addendum to: “Lipschitz convergence of Riemannian manifolds” (1989) (1)
New criterion of hyperbolicity (1979) (1)
Semicontinuity of Isometry Groups and Isomorphism Groups: a Survey (2020) (1)
Twistor Spaces and Balanced Metrics on Complex Manifolds (2007) (1)
The Hessian comparison theorem (1979) (1)
The zero set of a holomorphic function (2001) (1)
The geometry and function theory of noncompact Riemannian and Kähler manifolds (1982) (1)
Complex differential geometry (1987) (1)
The Significance of Large Isotropy Groups (2011) (0)
Automorphism Groups and Classification of Reinhardt Domains (2011) (0)
Hilbert spaces of holomorphic functions, the Bergman kernel, and biholomorphic mappings (2006) (0)
Recent developments in geometry : proceedings of the AMS Special Session in Geometry, November 14-15, 1987 (1989) (0)
Introduction to Topology.@@@Basic Topology. (1986) (0)
The Bergman Kernel and Metric (2011) (0)
RELATIVE ISOMETRIC EMBEDDINGS OF RIEMANNIAN MANIFOLDS IN Rn (2008) (0)
Riemann Surfaces and Covering Spaces (2011) (0)
The prime number theorem (2006) (0)
Some Other Invariant Metrics (2011) (0)
Stably-interior points and the Semicontinuity of the Automorphism group (2014) (0)
Applications of the Cauchy integral (2006) (0)
Quasi-isometry of the exponential map and the absence of positive harmonic functions (1979) (0)
Review: Wilhelm Klingenberg, Riemannian geometry (1984) (0)
The Bergman metric (1979) (0)
String theory and balanced metrics One of the main motivations for considering balanced metrics, in addition to the considerations (2007) (0)
Lie Groups Realized as Automorphism Groups (2011) (0)
Applications of Bergman Geometry (2011) (0)
The Scaling Method, II (2011) (0)
Book Review: Riemannian geometry (1984) (0)
Book Review: Three-dimensional geometry and topology (1998) (0)
Flat Conformal . . . (1996) (0)
Orbifolds, the Regular Solids, and Hurwitz’s 84(g – 1) Theorem (2023) (0)
Topological invariants and Holomorphic Mappings (2021) (0)
Sub-mean-value theorem for subharmonic functions (1979) (0)
Holomorphic functions as geometric mappings (2006) (0)
Partial differential equations on manifolds (1993) (0)
Characterizations of the complex projective plane by curvature (1975) (0)
Meromorphic functions and residues (2006) (0)
Bounded exhaustion functions and a new class of hyperbolic Kähler manifolds (1979) (0)
The statement and proof of Goursat’s theorem (2006) (0)
Real Analyticity: From Calculus Class to the Grauert-Morrey Theorem (2001) (0)
Manifolds biholomorphic to ℂn (1979) (0)
Semicontinuity of Isometry Groups and Isomorphism Groups: a Survey (2019) (0)

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