Almost Nonnegative Ricci curvature and new vanishing theorems for genera
Differential Geometry
2022-09-27 v1
Abstract
We derive several vanishing theorems for genera under almost nonnegative Ricci curvature and infinite fundamental group, which includes Todd genus, -genus, elliptic genera and Witten genus. A vanishing theorem of Euler characteristic number for almost nonnegatively curved Alexandrov spaces is also proved.
Keywords
Cite
@article{arxiv.2209.11951,
title = {Almost Nonnegative Ricci curvature and new vanishing theorems for genera},
author = {Xiaoyang Chen and Jian Ge and Fei Han},
journal= {arXiv preprint arXiv:2209.11951},
year = {2022}
}