Rigidity theorem for compact Bach-flat manifolds with positive constant $\sigma_2$
Differential Geometry
2018-10-17 v1
Abstract
We prove that an n( 4)-dimensional compact Bach-flat manifold with positive constant is an Einstein manifold, provided that its Weyl curvature satisfies a suitable pinching condition.
Cite
@article{arxiv.1810.06302,
title = {Rigidity theorem for compact Bach-flat manifolds with positive constant $\sigma_2$},
author = {Huiya He and Haiping Fu},
journal= {arXiv preprint arXiv:1810.06302},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1707.07236