A Reilly type integral formula and its applications
Differential Geometry
2022-02-24 v2
Abstract
In this paper, we achieve a Reilly type integral formula associated with the -Laplacian. As its applications, we obtain Heintze-Karcher and Minkowski type inequalities. Furthermore, almost Schur lemmas are also given. They recover the partial results of Li and Xia in [15]. On the other hand, we also study eigenvalue problem for Wentzell boundary conditions and obtain eigenvalue relationships.
Keywords
Cite
@article{arxiv.2201.09439,
title = {A Reilly type integral formula and its applications},
author = {Guangyue Huang and Bingqing Ma and Mingfang Zhu},
journal= {arXiv preprint arXiv:2201.09439},
year = {2022}
}
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