On Generalized Einstein Metrics
微分几何
2010-05-11 v3 数学物理
math.MP
摘要
Recall that the usual Einstein metrics are those for which the first Ricci contraction of the covariant Riemann curvature tensor is proportional to the metric. Assuming the same type of restrictions but instead on the different contractions of Thorpe tensors, one gets several natural generalizations of Einstein's condition. In this paper, we study some properties of these classes of metrics.
引用
@article{arxiv.math/0703028,
title = {On Generalized Einstein Metrics},
author = {Mohammed Larbi Labbi},
journal= {arXiv preprint arXiv:math/0703028},
year = {2010}
}
备注
11 pages, new results (theorems 3.3 and 3.4) added and references updated