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On intrinsic rigidity for minimal submanifolds in a sphere

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Publication:1262559
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zbMath0686.53056MaRDI QIDQ1262559

Yi-Bing Shen

Publication date: 1989

Published in: Science in China. Series A (Search for Journal in Brave)


zbMATH Keywords

second fundamental formrigiditytotally geodesicminimal submanifoldVeronese surfacepinching problem


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)


Related Items

The normal Ricci curvature inequality, On Chern's conjecture for minimal hypersurfaces and rigidity of self-shrinkers, The generalized Lu rigidity theorem for submanifolds with parallel mean curvature, Rigidity of closed CSL submanifolds in the unit sphere, An intrinsic rigidity theorem for minimal submanifolds in a sphere, Rigidity of compact minimal submanifolds in a unit sphere, A new characterization of Finsler metrics with constant flag curvature 1, On Closed Minimal Submanifolds in Pinched Riemannian Manifolds, Normal scalar curvature conjecture and its applications, Curvature Pinching for Three-Dimensional Minimal Submanifolds in a Sphere, An optimal rigidity theorem for complete submanifolds in a sphere



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