Strongly nonnegative curvature
Differential Geometry
2017-08-31 v2
Abstract
We prove that all currently known examples of manifolds with nonnegative sectional curvature satisfy a stronger condition: their curvature operator can be modified with a 4-form to become positive-semidefinite.
Cite
@article{arxiv.1511.07899,
title = {Strongly nonnegative curvature},
author = {Renato G. Bettiol and Ricardo A. E. Mendes},
journal= {arXiv preprint arXiv:1511.07899},
year = {2017}
}
Comments
LaTeX2e, 14 pages, revised version (some details given in previous versions are now omitted, following referee's request). To appear in Math. Ann