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2006•Journal of Hubei UniversityRequires access

Minimal submanifolds in a locally symmetric Riemannian manifold

Chuanxi Wu

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Abstract

Let N~(n+p) be a(n+p)-dimensional locally symmetric complete Riemannian manifold with sectional curvature K_N such that 12δ≤K_N≤1,Let M be a n-dimensional compact minimal submanifold in(N~(n+p).)A pinching problem with respect to the Ricci curvature of M is discussed.

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Let N~(n+p) be a(n+p)-dimensional locally symmetric complete Riemannian manifold with sectional curvature K_N such that 12δ≤K_N≤1,Let M be a n-dimensional compact minimal submanifold in(N~(n+p).)A pinching problem with respect to the Ricci curvature of M is discussed.

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Available abstract

Let N~(n+p) be a(n+p)-dimensional locally symmetric complete Riemannian manifold with sectional curvature K_N such that 12δ≤K_N≤1,Let M be a n-dimensional compact minimal submanifold in(N~(n+p).)A pinching problem with respect to the Ricci curvature of M is discussed.

Key concepts: Submanifold, Ricci curvature, Sectional curvature, Mathematics, Riemannian manifold, Pure mathematics, Scalar curvature, Riemann curvature tensor

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