An Interpolating Curvature Condition Preserved By Ricci Flow
Differential Geometry
2011-05-31 v2 Analysis of PDEs
Abstract
In this paper, we firstly establish an Interpolating curvature invariance between the well known nonnegative and 2-non-negative curvature invariant along the Ricci flow. Then a related strong maximum principle for the -nonnegativity is also derived along Ricci flow. Based on these, finally we obtain a rigidity property of manifolds with -nonnegative curvature operators.
Cite
@article{arxiv.1105.5311,
title = {An Interpolating Curvature Condition Preserved By Ricci Flow},
author = {Xiang Gao and Yu Zheng},
journal= {arXiv preprint arXiv:1105.5311},
year = {2011}
}