设(勋,g)是一个具有Killing向量场e的伪黎曼流形.本文讨论砑的紧致类空超曲面M上Killing向量场的存在性问题,给出了M上存在Killing向量场的一个充分条件.
existence sufficient m Let (M, problems condition g) be of Kil a semi-Riemannian ling vector fields on manifold with a Killing vector field . In this paper, the compact spacelike hypersurface M of M are studied, and a for the existence of Killing vector fields is obtained.