Strongly positive curvature
Differential Geometry
2018-06-06 v1
Abstract
We begin a systematic study of a curvature condition (strongly positive curvature) which lies strictly between positive curvature operator and positive sectional curvature, and stems from the work of Thorpe in the 1970s. We prove that this condition is preserved under Riemannian submersions and Cheeger deformations, and that most compact homogeneous spaces with positive sectional curvature satisfy it.
Cite
@article{arxiv.1403.2117,
title = {Strongly positive curvature},
author = {Renato G. Bettiol and Ricardo A. E. Mendes},
journal= {arXiv preprint arXiv:1403.2117},
year = {2018}
}
Comments
LaTeX2e, 26 pages