Volume gap between the minimal submanifold and the unit sphere
Differential Geometry
2025-07-24 v1
Abstract
In this paper, following the method of Cheng-Li-Yau, we first modify the coefficients in the constant to improve the volume gap. Further, we also enlarge our gap by applying an estimate of Cheng-Yang for eigenvalues of Laplacian.
Cite
@article{arxiv.2412.01288,
title = {Volume gap between the minimal submanifold and the unit sphere},
author = {Weiran Ding and Jianquan Ge and Fagui Li},
journal= {arXiv preprint arXiv:2412.01288},
year = {2025}
}
Comments
13 pages, any comments are welcome