Manifolds with 1/4-pinched Curvature are Space Forms

Simon Brendle, Richard Schoen

Type: Preprint

Publication Date: 2007-01-01

Citations: 5

DOI: https://doi.org/10.48550/arxiv.0705.0766

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arXiv (Cornell University) - View
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Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	Ricci deformation of the metric on a Riemannian manifold	1985	Gerhard Huisken
+ PDF Chat	Three-manifolds with positive Ricci curvature	1982	Richard S. Hamilton
+ PDF Chat	Riemannian manifolds with bounded curvature ratios	1982	Ernst A. Ruh
+ PDF Chat	Four-manifolds with positive curvature operator	1986	Richard S. Hamilton
+ PDF Chat	Four-manifolds with positive isotropic curvature	1997	Richard S. Hamilton
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman
+	Minimal Two-Spheres and the Topology of Manifolds with Positive Curvature on Totally Isotropic Two-Planes	1988	Mario Micallef John Douglas Moore
+ PDF Chat	A short proof of Berger’s curvature tensor estimates	1970	Hermann Karcher
+ PDF Chat	The fundamental group of manifolds of positive isotropic curvature and surface groups	2006	Ailana Fraser Jon Wolfson
+	An equivariant pinching theorem	1975	Hans-Christoph Im Hof Ernst A. Ruh