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2006•Journal of Northwest Normal UniversityRequires access

Submanifolds with parallel normalized mean curvature vector in a unit sphere

Deyan Zhang

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Abstract

The pinching problems of submanifold M with parallel normalized mean curvature vector in a unit sphere S ~(n+p)(p1) are studied.The sufficient condition for M lying in a totally geodesic submanifold S~(n+1) of S~(n+p) is obtained.

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The pinching problems of submanifold M with parallel normalized mean curvature vector in a unit sphere S ~(n+p)(p1) are studied.The sufficient condition for M lying in a totally geodesic submanifold S~(n+1) of S~(n+p) is obtained.

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Available abstract

The pinching problems of submanifold M with parallel normalized mean curvature vector in a unit sphere S ~(n+p)(p1) are studied.The sufficient condition for M lying in a totally geodesic submanifold S~(n+1) of S~(n+p) is obtained.

Key concepts: Submanifold, Unit sphere, Geodesic, Mean curvature, Mathematics, Curvature, Unit (ring theory), Totally geodesic

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