Article ID Journal Published Year Pages File Type
4617192 Journal of Mathematical Analysis and Applications 2012 9 Pages PDF
Abstract

Let MnMn be a complete stable strongly minimal hypersurface of a Minkowski space V¯n+1. In this paper, we prove that if ∫SM|B|2dVSM<∞∫SM|B|2dVSM<∞, where |B|2|B|2 is the norm square of the second fundamental form of MM, then MM is a locally Minkowski space which was obtained by do Carmo and Peng (1980) [1] for the Riemannian case.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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