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系统科学与数学 2007
On 2-Harmonic Space-Like Submanifolds of a Locally Symmtric Pseudo-Rimannian Manifold
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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.