On Generalized Einstein Metrics
Differential Geometry
2010-05-11 v3 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.math/0703028,
title = {On Generalized Einstein Metrics},
author = {Mohammed Larbi Labbi},
journal= {arXiv preprint arXiv:math/0703028},
year = {2010}
}
Comments
11 pages, new results (theorems 3.3 and 3.4) added and references updated