西北师范大学学报(自然科学版)2013,Vol.49Issue(4):6-9,4.
伪黎曼流形中类空超曲面上Killing向量场的存在性定理
Existence theorem for Killing vector field on spacelike hypersurfaces of semi-Riemannian manifolds
摘要
Abstract
Let((M),g)be a semi-Riemannian manifold with a Killing vector field ε.In this paper,the existence problems of Killing vector fields on compact spacelike hypersurface M of M are studied,and a sufficient condition for the existence of Killing vector fields is obtained.关键词
Killing向量场/类空超曲面/Ricci曲率/Laplace算子Key words
Killing vector field/spacelike hypersurface/Ricci curvature/Laplacian operator分类
数理科学引用本文复制引用
刘建成,柴瑞娟..伪黎曼流形中类空超曲面上Killing向量场的存在性定理[J].西北师范大学学报(自然科学版),2013,49(4):6-9,4.基金项目
国家自然科学基金资助项目(11261051) (11261051)
甘肃省高等学校基本科研业务费资助项目 ()