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On 2-Harmonic Space-Like Submanifolds of a Locally Symmtric Pseudo-Rimannian Manifold
关于局部对称伪黎曼流形中的2-调和类空子流形

Keywords: Pseudo-Riemannian manifold,locally symmetric,2-harmonic space-like submanifold,integral formula
伪黎曼流形
,局部对称,2-调和映照,极大类空

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Abstract:

Let Npn+p be a locally symmetric pseudo-Riemanian manifold, whose sectional curvatrue KN satisties $0<\delta\leqslant KN\leqslant1$. Let Mn be a 2-harmonic space-like submanifold in Npn+p. In this paper, we obtain a pinching theorem for the square of the length of the second fundamental form and an integral formula.

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