Matthew Gursky
Affiliations: | University of Notre Dame, Notre Dame, IN, United States |
Area:
Applied Mathematics, Astronomy and Astrophysics, MathematicsGoogle:
"Matthew Gursky"Parents
Sign in to add mentorSun-yung Alice Chang | grad student | 1991 | Caltech | |
(Compactness of Conformal Metrics with Integral Bounds on Curvature.) |
Children
Sign in to add traineeRaymond W. Jensen | grad student | 2008 | Notre Dame |
Sujin Khomrutai | grad student | 2009 | Notre Dame |
Yen-Chang Huang | grad student | 2011 | Notre Dame |
Yueh-Ju Lin | grad student | 2014 | Notre Dame |
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Publications
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Gursky MJ, Streets J. (2019) A formal Riemannian structure on conformal classes and the inverse Gauss curvature flow Geometric Flows. 4: 30-50 |
Chang SA, Gursky M, Zhang S. (2019) A conformally invariant gap theorem characterizing $$\mathbb {CP}^2$$ via the Ricci flow Mathematische Zeitschrift. 294: 721-746 |
Gursky M, Streets J. (2018) A formal Riemannian structure on conformal classes and uniqueness for the σ2–Yamabe problem Geometry & Topology. 22: 3501-3573 |
Gursky M, Streets J. (2018) Variational structure of the vn2-Yamabe problem Differential Geometry and Its Applications. 56: 187-201 |
Gursky M, Kelleher CL, Streets J. (2018) A Conformally Invariant Gap Theorem in Yang–Mills Theory Communications in Mathematical Physics. 361: 1155-1167 |
Gursky MJ, Han Q. (2017) Non-existence of Poincaré–Einstein manifolds with prescribed conformal infinity Geometric and Functional Analysis. 27: 863-879 |
Gursky MJ, Hang F, Lin YJ. (2016) Riemannian Manifolds with Positive Yamabe Invariant and Paneitz Operator International Mathematics Research Notices. 2016: 1348-1367 |
Gursky MJ, Viaclovsky JA. (2016) Critical metrics on connected sums of Einstein four-manifolds Advances in Mathematics. 292: 210-315 |
Gursky MJ, Viaclovsky JA. (2015) Rigidity and stability of Einstein metrics for quadratic curvature functionals Journal Fur Die Reine Und Angewandte Mathematik. 2015: 37-91 |
Gursky M, Malchiodi A. (2012) Non-uniqueness Results for Critical Metrics of Regularized Determinants in Four Dimensions Communications in Mathematical Physics. 315: 1-37 |