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- 2017
伪黎曼空间型中具有常数量曲率的类空子流形
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Abstract:
摘要： 设M n是伪黎曼空间型N n+pq(c)(1≤q≤p)中具有常数量曲率R的n维完备类空子流形。 假定M n在N n+pq(c)中的第二基本形式是局部类时的情况下, 应用Simons型不等式以及Cheng-Yau引进的二阶微分算子, 得到了M n的一个刚性结果。
Abstract: Let M n be a space-like submanifold immersed in a pseudo-Riemannian space form N n+pq(c) with constant scalar curvature. Assume the second fundamental form of M n in N n+pq(c) is locally time-like, by applying Simons inequality and Cheng-Yau modified operator, a rigidity theorem of M n is obtained
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