Alfred Gray | Academic Influence

Alfred Gray 's AcademicInfluence.com Rankings

Alfred Gray

Mathematics

#3761

World Rank

#5484

Historical Rank

#1360

USA Rank

Measure Theory

#1594

World Rank

#1972

Historical Rank

#528

USA Rank

mathematics Degrees

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Mathematics

Alfred Gray 's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley

Why Is Alfred Gray Influential?

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According to Wikipedia, Alfred Gray was an American mathematician whose main research interests were in differential geometry. He also made contributions in the fields of complex variables and differential equations. Short biography Alfred Gray was born in Dallas, Texas to Alfred James Gray & Eloise Evans and studied mathematics at the University of Kansas. He received a Ph.D. from the University of California, Los Angeles in 1964 and spent four years at University of California, Berkeley. From 1970–1998 he was a professor at the University of Maryland, College Park.

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Alfred Gray '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

The sixteen classes of almost Hermitian manifolds and their linear invariants (1980) (825)
Modern Differential Geometry of Curves and Surfaces (1993) (627)
Modern differential geometry of curves and surfaces with Mathematica (2. ed.) (1998) (428)
Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition (Studies in Advanced Mathematics) (2006) (427)
Modern differential geometry of curves and surfaces withmathematica (1997) (388)
Riemannian manifolds with structure groupG2 (1982) (370)
Nearly Kähler manifolds (1970) (281)
Einstein-like manifolds which are not Einstein (1978) (272)
Homogeneous spaces defined by Lie group automorphisms. II (1968) (267)
Vector cross products on manifolds (1969) (229)
The structure of nearly Kähler manifolds (1976) (215)
Curvature identities for Hermitian and almost Hermitian manifolds (1976) (213)
Riemannian manifolds with geodesic symmetries of order 3 (1972) (202)
The volume of a small geodesic ball of a Riemannian manifold. (1974) (176)
Riemannian geometry as determined by the volumes of small geodesic balls (1979) (154)
Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology (2000) (131)
Weak holonomy groups (1971) (128)
Minimal varieties and almost Hermitian submanifolds. (1965) (106)
Almost complex submanifolds of the six sphere (1969) (103)
Some examples of almost Hermitian manifolds (1966) (101)
Vector cross products (1967) (80)
Compact parallelizable four-dimensional symplectic and complex manifolds (1988) (79)
Symplectic manifolds with no Kahler structure (1986) (77)
Mean-value theorems for Riemannian manifolds (1982) (58)
A note on manifolds whose holonomy group is a subgroup of ${\rm Sp}(n)\cdot {\rm Sp}(1)$. (1969) (58)
Spaces of constancy of curvature operators (1966) (57)
Compact symplectic manifolds with free circle actions, and Massey products. (1991) (51)
The Volumes of Tubes about Curves in a Riemannian Manifold (1982) (50)
Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula (1982) (50)
THE CURVATURE OF EINSTEIN SYMMETRIC SPACES (1982) (41)
The Frölicher spectral sequence for compact nilmanifolds (1991) (36)
A general description of the terms in the Frölicher spectral sequence (1997) (36)
Compact symplectic solvmanifolds not admitting complex structures (1990) (35)
The mean exit time from a small geodesic ball in a Riemannian manifold (1983) (35)
Some relations between curvature and characteristic classes (1970) (35)
Sphere transitive structures and the triality automorphism (1970) (34)
SIX DIMENSIONAL ALMOST COMPLEX MANIFOLDS DEFINED BY MEANS OF THREE-FOLD VECTOR CROSS PRODUCTS (1969) (31)
The Chern numbers of holomorphic vector bundles and formally holomorphic connections of complex vector bundles over almost complex manifolds. (1980) (29)
The Iwasawa manifold (1986) (27)
Volumes of tubes about complex submanifolds of complex projective space (1985) (27)
Introduction to Ordinary Differential Equations with Mathematica (1997) (16)
Steiner's formula for the volume of a parallel hypersurface in a riemannian manifold (1981) (16)
Mean-value Theorems (2004) (15)
Compact Kähler manifolds with nonnegative sectional curvature (1977) (15)
Asymptotic values of a holomorphic function with respect to its maximum term. (1966) (15)
Frölicher Spectral Sequence of Compact Nilmanifolds with Nilpotent Complex Structure (1999) (14)
Volumes of tubes about Kähler submanifolds expressed in terms of Chern classes (1984) (12)
Computer Graphics and a New Gibbs Phenomenon for Fourier - Bessel Series (1992) (12)
On Pappus-Type Theorems on the Volume in Space Forms (2000) (11)
Errata to: “Vector cross products on manifolds” (1970) (10)
Holomorphic functions with gap power series (1965) (9)
Vector cross products, harmonic maps and the Cauchy Riemann equations (1982) (8)
Geodesic Balls in Riemannian Product Manifolds (1976) (7)
A generalization of F. Schur's theorem (1969) (7)
Errata: ``A note on manifolds whose holonomy group is a subgroup of $s{\rm Sp}(n)\cdot {\rm Sp}(1)''$. (1970) (6)
Chern Numbers and Curvature (1978) (6)
A note on entire functions and a conjecture of Erdös (1963) (5)
Kähler submanifolds of homogeneous almost Hermitian manifolds (1969) (5)
Asymptotic values of holomorphic functions of irregular growth (1965) (4)
Introduction to Ordinary Differential Equations with Mathematica: An Integrated Multimedia Approach (1997) (4)
Hidden costs of turnover. (1990) (4)
Principal curvature forms (1969) (3)
A note on entire functions and a conjecture of Erdös (II) (1964) (3)
Isometric Immersions of almost Hermitian Manifolds (1969) (2)
Dolbeault homotopy theory and compact nilmanifolds (1998) (2)
The six dimensional Gauss Bonnet integrand (1973) (2)
Power series expansions, differential geometry of geodesic spheres and tubes, and mean-value theorems (1980) (2)
The minimal focal distance of a complex hypersurface in complex projective space (1989) (1)
Comparison theorems for volumes in surfaces (1985) (1)
Holomorphic functions with gap power series—II (1966) (1)
Phase Portraits of Linear Systems (1997) (1)
Borel exceptional values of entire functions (1967) (1)
Interprocess Communication in Linux (2002) (1)
An Introduction to Weyl’s Tube Formula (2004) (1)
Isometric immersions in symmetric spaces (1969) (1)
Holomorphic functions with gap power series?II*1 (1966) (0)
Chern Forms and Chern Numbers (2004) (0)
Numerical Solutions of Differential Equations (1997) (0)
The Laplace Transform (1997) (0)
The Generalized Gauss-Bonnet Theorem (2004) (0)
Applications of Linear Second-Order Equations (1997) (0)
Higher-Order Linear Differential Equations (1997) (0)
Existence and Uniqueness of Solutions of First-Order Differential Equations (1997) (0)
Fermi Coordinates and Fermi Fields (2004) (0)
The Riccati Equation for the Second Fundamental Forms (2004) (0)
Second-Order Linear Differential Equations (1997) (0)
Using ODE.m to Solve Second-Order Linear Differential Equations (1997) (0)
The Tube Formula in the Complex Case (2004) (0)
Applications of Linear Systems (1997) (0)
The Package ODE.m (1997) (0)
Differential geometry : proceedings, Special Year, Maryland, 1981-82 (1983) (0)
First-Order Differential Equations (1997) (0)
Applications of Nonlinear Systems (1997) (0)
Frobenius Solutions of Second-Order Equations (1997) (0)
Stability of Nonlinear Systems (1997) (0)
Power Series Expansions for Tube Volumes (2004) (0)
Power Series Solutions of Second-Order Equations (1997) (0)
Applications of First-Order Equations II (1997) (0)
Comparison Theorems for Tube Volumes (2004) (0)
Calculus of variations in complex vector bundles (1972) (0)
The Proof of Weyl’s Tube Formula (2004) (0)
Systems of Linear Differential Equations (1997) (0)
A generalization of Weyl’s tube formula (1981) (0)
Second-Order Linear Differential Equations with Constant Coefficients (1997) (0)

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