Compact Spacelike Hypersurfaces withHyperplanar Boundary in Minkowski Space-time

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摘　　要:

In this paper, we study the relations between a compact spacelike hypersurface with hy-perplanar boundary in the (n + 1)- dimensional Minkowski space-time L^n+1 being totally umbilicaland its hyperplanar boundary in a fixed hyperplane π of L^(n+1) being totally umbilical under certainconditions. We give the sufficient conditions for such hypersurface and its hyperplanar boundary tobe totally umbilical in their respective ambients. (共6页)