A conformally invariant sphere theorem in four dimensions
S. Y. A Chang, Matthew J. Gursky, Paul Yang
Abstract
In this paper we provide a sharp characterization of the smooth four-dimensional sphere. The assumptions of the theorem are conformally invariant, and can be reduced to an L2 inequality of the Weyl tensor and positivity of the Yamabe invariant.
Create a lesson
Related papers
Exterior free-boundary minimal surfaces of every topological type with at least two ends
Igor Kozyrev
Sharp Yamabe Bounds for Spherical Three-Space Forms via Four-Dimensional Poincaré--Einstein Compactness
Jakob Loren
A three-block higher-rank deformed Hermitian--Yang--Mills correspondence on P1× P1
Yuqi Li, Hao-Yu Sun
Smooth approximation, Alexandrov-Fenchel type inequalities and curvature flows for h-convex bodies in hyperbolic space
Xinxiu Zhang
Odd-dimensional lens-space Yamabe counterexamples
Jakob Loren
The anisotropic Weyl law and Grassmannian equidistribution
Antonio De Rosa, Aria Halavati