Gradient estimate for eigenforms of Hodge Laplacian
Differential Geometry
2011-11-11 v3
Abstract
In this paper, we derive a gradient estimate for the linear combinations of eigenforms of the Hodge Laplacian on a closed manifold. The estimate is given in terms of the dimension, volume, diameter and curvature bound of the manifold. As an application, we obtain directly a sharp estimate for the heat kernel of the Hodge Laplacian.
Keywords
Cite
@article{arxiv.1109.4968,
title = {Gradient estimate for eigenforms of Hodge Laplacian},
author = {Jiaping Wang and Linfeng Zhou},
journal= {arXiv preprint arXiv:1109.4968},
year = {2011}
}
Comments
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