Inequalities for eigenvalues of the weighted Hodge Laplacian
Differential Geometry
2013-12-03 v1
Abstract
In this paper, we obtain "universal" inequalities for eigenvalues of the weighted Hodge Laplacian on a compact self-shrinker of Euclidean space. These inequalities generalize the Yang-type and Levitin-Parnovski inequalities for eigenvalues of the Laplacian and Laplacian. From the recursion formula of Cheng and Yang \cite{ChengYang07}, the Yang-type inequality for eigenvalues of the weighted Hodge Laplacian are optimal in the sense of the order of eigenvalues.
Keywords
Cite
@article{arxiv.1312.0218,
title = {Inequalities for eigenvalues of the weighted Hodge Laplacian},
author = {Daguang Chen and Yingying Zhang},
journal= {arXiv preprint arXiv:1312.0218},
year = {2013}
}
Comments
19 pages,any comments are welcome