Gradient estimate for eigenforms of hodge laplacian

Jiaping Wang, Linfeng Zhou

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper, we derive a gradient estimate for 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.

Original languageEnglish (US)
Pages (from-to)575-588
Number of pages14
JournalMathematical Research Letters
Volume19
Issue number3
DOIs
StatePublished - 2012

Keywords

  • Gradient estimate
  • Hodge Laplacian
  • Sobolev inequality

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