保形向量场上的Bott定理

Bott Theorem in the Field of Conformal Vectors

本文意在提出,Hermitian流形上的全纯向量场和Riemann流形上的Killing向量场上的Bott定理,可以推广到Riemann流形上的保形(Conformal)向量场的设想.

The aim of this paper is to propose an imagination that the bott theorem of holomorphic vector fields on the Hermitian manifolds and of Killing vector fields on the Riemann manifolds could be spread into the conformal vector field on Riemann manifolds.