Concepedia

Matthew J. Gursky

MJ

22

Publications

1.6K

Citations

19

H-Index

1993

Active since

Affiliations

University of Notre Dame(Current)

Indiana University Bloomington

Massachusetts Institute of Technology

Princeton University

Stony Brook University

Matthew J. Gursky is an author at University of Notre Dame specializing in geometry, functional analysis, and spectral theory.

Top concepts

GeometryFunctional AnalysisEngineeringSpectral TheorySpin SystemsIntegral GeometryNumerical AnalysisRepresentation Theory

Publications per year

1993–2023

22

Publications

22

An Equation of Monge-Ampere Type in Conformal Geometry, and Four-Manifolds of Positive Ricci Curvature

Sun Chang, Matthew J. Gursky, Paul Yang · Annals of Mathematics · 2002 · 256 citations

Monge-ampere Equation, Invariant Conditions, Global Geometry +11

The scalar curvature equation on 2- and 3-spheres

Sun‐Yung A. Chang, Matthew J. Gursky, Paul Yang · Calculus of Variations and Partial Differential Equations · 1993 · 242 citations

Geometric Partial Differential Equation, Geometry, Riemannian Geometry +2

The Principal Eigenvalue¶of a Conformally Invariant Differential Operator,¶with an Application to Semilinear Elliptic PDE

Matthew J. Gursky · Communications in Mathematical Physics · 1999 · 134 citations

Spectral Theory, Elliptic Equation, Semilinear Elliptic Pde +4

Prescribing symmetric functions of the eigenvalues of the Ricci tensor

Matthew J. Gursky, Jeffrey Viaclovsky · Annals of Mathematics · 2007 · 114 citations · Full text

The Weyl Functional, de Rham Cohomology, and Kahler-Einstein Metrics

Matthew J. Gursky · Annals of Mathematics · 1998 · 101 citations

Riemannian Geometry, Complex Geometry, Lie Theory +1

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