K\"ahler Finsler manifolds with curvatures bounded from below
Differential Geometry
2022-12-27 v2
Abstract
We obtain a partial parallelism of the complex structure on K\"ahler Finsler manifolds. As applications, we prove Synge-Tsukamoto theorem and Bonnet-Myers theorem for positively curved K\"ahler Finsler manifolds. Moreover, we generalize a comparison theorem due to Ni-Zheng by introducing the notion of orthogonal Ricci curvature to K\"ahler Finsler geometry.
Keywords
Cite
@article{arxiv.2207.00703,
title = {K\"ahler Finsler manifolds with curvatures bounded from below},
author = {Bin Chen and Nan Li and Siwei Liu},
journal= {arXiv preprint arXiv:2207.00703},
year = {2022}
}