黎曼流形上的射影变换和共形变换

Projective and Conformal Transformations on Riemannian Manifolds

本文得到黎曼流形上微分方程组iPh+k(2Pjgih+Pigih+Phgji)=0和ip+kpgji=0的一些等价形式及不存在非平凡解的一个充分条件。

We consider the following systems of diferential equations, j i+ph+k(2pj gib+pigjh+phgji) =0 and j i p+ kpgji=0 on a Riemannian manifold M, and then obtain some equivalent equations and a sufficient condition for M to admit no nontrivial solution p of such systems.