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November 2013 A Note on the Fundamental Solution of the Heat Operator on Forms
Paul Bracken
Missouri J. Math. Sci. 25(2): 186-194 (November 2013). DOI: 10.35834/mjms/1384266203

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.

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Paul Bracken. "A Note on the Fundamental Solution of the Heat Operator on Forms." Missouri J. Math. Sci. 25 (2) 186 - 194, November 2013. https://doi.org/10.35834/mjms/1384266203

Information

Published: November 2013
First available in Project Euclid: 12 November 2013

zbMATH: 1281.58017
MathSciNet: MR3059315
Digital Object Identifier: 10.35834/mjms/1384266203

Subjects:
Primary: 58A12
Secondary: 53C99, 58I35

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

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Vol.25 • No. 2 • November 2013
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