拟Einstein流形子流形的调和与开玲向量场

Harmonic Vector and Killing Vector Field of Submanifolds in Quasi Einstein manifold

在〔1〕中研究了拟Einstein 流形的一些代数和几何性质,以及一个Riemannian流形成为拟Einstein流形的条件。本文研究了拟Einstein流形子流形的调和向量场和开玲向量场的存在和不存在的条件。

This paper reparts the existing condition and inexisting condition are studied about the Harmonilc vector field and killing vector field of submanifold in Quasi-Einstein manifold.