CONFORMAL DIFFEOMORPHISMS PRESERVING THE RICCI TENSOR

被引：39

作者：

KUHNEL, W

RADEMACHER, HB

机构：

[1] UNIV DUISBURG,FACHBEREICH MATH,D-47048 DUISBURG,GERMANY

[2] UNIV AUGSBURG,INST MATH,D-86135 AUGSBURG,GERMANY

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 09期

关键词：

SEMI-RIEMANNIAN MANIFOLDS; RICCI TENSOR; CONFORMAL MAPPING; HESSIAN;

D O I：

10.2307/2160584

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize semi-Riemannian manifolds admitting a global conformal transformation such that the difference of the two Ricci tensors is a constant multiple of the metric. Unless the conformal transformation is homothetic, the only possibilities are standard Riemannian spaces of constant sectional curvature and a particular warped product with a Ricci flat Riemannian manifold.

引用

页码：2841 / 2848

页数：8