Einstein four-manifolds of pinched sectional curvature
Differential Geometry
2019-08-09 v2
Abstract
In this paper, we obtain classification of four-dimensional Einstein manifolds with positive Ricci curvature and pinched sectional curvature. In particular, the first result concerns with an upper bound of sectional curvature, improving a theorem of E. Costa. The second is a generalization of D. Yang's result assuming an upper bound on the difference between sectional curvatures.
Keywords
Cite
@article{arxiv.1612.06023,
title = {Einstein four-manifolds of pinched sectional curvature},
author = {Xiaodong Cao and Hung Tran},
journal= {arXiv preprint arXiv:1612.06023},
year = {2019}
}
Comments
18 pages, comments welcome