David Gregory Ebin

David Gregory Ebin's AcademicInfluence.com Rankings

David Gregory Ebin

Mathematics

#3745

World Rank

#5465

Historical Rank

#1354

USA Rank

Measure Theory

#2980

World Rank

#3540

Historical Rank

#867

USA Rank

mathematics Degrees

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Mathematics

David Gregory Ebin's Degrees

PhD Mathematics Princeton University

Why Is David Gregory Ebin Influential?

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According to Wikipedia, David Gregory Ebin is an American mathematician, specializing in differential geometry. Ebin received in 1964 from Harvard University his bachelor's degree and in 1967 his Ph.D. from Massachusetts Institute of Technology under Isadore Singer with thesis On the space of Riemannian metrics. From 1968 to 1969 Ebin was a lecturer at the University of California, Berkeley. He became in 1969 an associate professor and in 1978 a full professor at the Stony Brook University.

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David Gregory Ebin'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

Groups of diffeomorphisms and the motion of an incompressible fluid (1970) (1329)
Comparison theorems in Riemannian geometry (1975) (573)
Some decompositions of the space of symmetric tensors on a Riemannian manifold (1969) (284)
The manifold of Riemannian metrics (1970) (279)
The equations of motion of a perfect fluid with free boundary are not well posed. (1987) (146)
The motion of slightly compressible fluids viewed as a motion with strong constraining force (1977) (145)
On the space of Riemannian metrics (1968) (114)
Diffeomorphism groups, hydrodynamics and relativity (1972) (87)
Motion of slightly compressible fluids in a bounded domain. I (1982) (80)
Ill-posedness of the rayleigh-taylor and helmholtz problems for incompressible fluids (1988) (62)
Singularities of the exponential map on the volume-preserving diffeomorphism group (2006) (53)
On the motion of incompressible fluids (1970) (34)
Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid. (1969) (30)
The initial boundary value problem for sub‐sonic fluid motion (1979) (28)
A concise presentation of the Euler equations of hydrodynamics (1984) (27)
Completeness of Hamiltonian vector fields (1970) (27)
Geodesics On The Symplectomorphism Group (2012) (25)
Global solutions of the equations of elastodynamics of incompressible neo-Hookean materials. (1993) (25)
Motion of a slightly compressible fluid. (1975) (19)
The free boundary Euler equations with large surface tension (2015) (19)
The initial-value problem for elastodynamics of incompressible bodies (1986) (19)
On the Limit of Large Surface Tension for a Fluid Motion with Free Boundary (2013) (19)
Deformations of incompressible bodies with free boundaries (1992) (15)
Motion of slightly compressible fluids in a bounded domain. II (2013) (13)
Global solutions of the equations of elastodynamics for incompressible materials (1996) (13)
Riemannian Geometry of the Contactomorphism Group (2014) (13)
Integrability of perfect fluid motion (1983) (11)
Small defromations of incompressible bodies with free boundary (1990) (6)
Thomae’s formula for Zn curves (2010) (6)
Riemannian geometry on the quantomorphism group (2013) (5)
Groups of Diffeomorphisms and Fluid Motion: Reprise (2015) (3)
HORIZONTAL HOLOMORPHIC CURVES IN Sp ( n )-FLAG MANIFOLDS (2010) (1)
Marcel Berger Remembered (2017) (1)
ON THE SPECTRAL RIGIDITY OF CPn (2010) (1)
Basic concepts and results (2008) (0)
Complete manifolds of nonnegative curvature (2008) (0)
The seeds of war (1972) (0)
Toponogov’s theorem (2008) (0)
Closed geodesics and the cut locus (2008) (0)
Compact manifolds of nonpositive curvature (2008) (0)
PR ] 3 0 Ju n 20 11 Martingales in Homogeneous spaces Simão (2011) (0)
Geodesics On The Symplectomorphism Group (2012) (0)
AUTOMORPHISM GROUPS OF LOCALLY COMPACT REDUCTIVE GROUPS (2010) (0)
The sphere theorem and its generalizations (2008) (0)
Book Review: The geometry of infinite-dimensional groups (2011) (0)
Selim Gregorievich Krein in Stony Brook (2019) (0)
MANIFOLDS OF ALMOST HALF OF THE MAXIMAL (2010) (0)
Isadore M. Singer (1924–2021) In Memoriam Part 2: Personal Recollections (2022) (0)
Riemannian Geometry of the Contactomorphism Group (2014) (0)
The group of diffeomorphisms, and motion of fluids (1971) (0)
The differentiable sphere theorem (2008) (0)

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David Gregory Ebin's Academic­Influence.com Rankings