School of Mathematical and Statistical Sciences Faculty Publications and Presentations

A Note on the Fundamental Solution of the Heat Operator on Forms

Document Type

Article

Publication Date

11-2013

Abstract

An approximate solution of the heat equation on p -forms on an n -dimensional manifold is constructed. This is used to create a fundamental solution of the heat operator. It is shown there is a link between this solution and the generalized Gauss-Bonnet Theorem on manifolds.

Comments

© 2013 Central Missouri State University, Department of Mathematics and Computer Science

Publication Title

Missouri J. Math. Sci.

DOI

10.35834/mjms/1384266203

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