J. Korean Math. Soc. 2001; 38(1): 135-146
Printed January 1, 2001
Copyright © The Korean Mathematical Society.
Liu Ximin
Dalian University of Technology
Let $M^n$ be a space-like submanifold in a de Sitter space $M_p^{n+p}(c)$ with constant scalar curvature. We firstly extend Cheng-Yau's technique to higher codimensional cases. Then we study the rigidity problem for $M^n$ with parallel normalized mean curvature vector field.
Keywords: space-like submanifold, scalar curvature, normalized mean curvature vector field
MSC numbers: 53C40, 53C42, 53C50
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