Gradient estimate for eigenforms of Hodge Laplacian
classification
🧮 math.DG
keywords
estimatehodgelaplacianeigenformsgradientmanifoldapplicationbound
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.