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Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space. (English) Zbl 0979.53024
Summary: B. Y. Chen [Indiana Univ. Math. J. 20, 1175-1185 (1971; Zbl 0219.53047)] and H. Sun [Tsukuba J. Math. 20, 45-50 (1996; Zbl 0888.53039)] have studied pseudo-umbilical submanifolds. In this paper, we generalize the compact pseudo-umbilical space-like submanifolds with parallel mean curvature in a pseudo-Riemannian space.

MSC:
53B25 Local submanifolds
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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References:
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