A sphere theorem for submanifolds in a manifold with pinched positive curvature

Changyu Xia

Type: Article

Publication Date: 1997-12-01

Citations: 7

DOI: https://doi.org/10.1007/bf01319045

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Locations

Monatshefte für Mathematik - View

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+	Geometric and differentiable rigidity of submanifolds in spheres	2012	Hongwei Xu Fei Huang Entao Zhao
+ PDF Chat	Topological and differentiable sphere theorems for complete submanifolds	2009	Hongwei Xu Entao Zhao
+	Riemannian Submanifolds: A Survey	2013	Bang‐Yen Chen
+	The topological rigidity theorem for submanifolds in space forms	2019	Juan-Ru Gu Hongwei Xu
+	SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE	2017	Elzimar Oliveira Rufino
+	Riemannian Submanifolds	2000	Bang‐Yen Chen
+	Geometric and topological rigidity for compact submanifolds of odd dimension	2014	Hongwei Xu Yan Leng Juan-Ru Gu

Works Cited by This (11)

Action	Title	Year	Authors
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin
+	Minimal Two-Spheres and the Topology of Manifolds with Positive Curvature on Totally Isotropic Two-Planes	1988	Mario Micallef John Douglas Moore
+ PDF Chat	On the minimal submanifolds in ${\bf C}{\rm P}^m(c)$ and $S^N(1)$	1992	Chang Xia
+	On the topology of a compact submanifold of a sphere with bounded second fundamental form	1993	Pui-Fai Leung
+	Rigidity and sphere theorem for manifolds with positive Ricci curvature	1994	Changyu Xia
+ PDF Chat	Minimal submanifolds of a sphere with bounded second fundamental form	1986	Hillel Gauchman
+	Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length	2012	Shiing-Shen Chern Manfredo do Carmo Shimpei Kobayashi
+	Minimal Varieties in Riemannian Manifolds	1968	James Simons
+ PDF Chat	Sur quelques variétés riemanniennes suffisamment pincées	1960	Marcel Berger
+	Functional Analysis and Related Fields	1970