伪黎曼流形中的紧致类空子流形

摘要

We first establish a integral inequality for compact maximal space-like submanifolds in pseudo-Riemannian manifolds Nnp+p.Then,we investigate compact space-like submanifolds and hupersurfaces with parallel second fundamental form in Nnp+p and some other ambient spaces.We obtain some distribution theorems for the square norm of the second fundamental form.