Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606450 | Differential Geometry and its Applications | 2010 | 5 Pages |
Abstract
It is known that for open manifolds with bounded geometry, the differential form heat kernel exists and is unique. Furthermore, it has been shown that the components of the differential form heat kernel are related via the exterior derivative and the coderivative. We will give a proof of this condition for complete manifolds with Ricci curvature bounded below, and then use it to give an integral representation of the heat kernel of degree k.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Trevor H. Jones,