Missouri Journal of Mathematical Sciences

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

Paul Bracken

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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.

Article information

Source
Missouri J. Math. Sci., Volume 25, Issue 2 (2013), 186-194.

Dates
First available in Project Euclid: 12 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.mjms/1384266203

Digital Object Identifier
doi:10.35834/mjms/1384266203

Mathematical Reviews number (MathSciNet)
MR3059315

Zentralblatt MATH identifier
1281.58017

Subjects
Primary: 58A12: de Rham theory [See also 14Fxx]
Secondary: 58I35 53C99: None of the above, but in this section

Keywords
heat operator $p$-form manifold Laplacian

Citation

Bracken, Paul. A Note on the Fundamental Solution of the Heat Operator on Forms. Missouri J. Math. Sci. 25 (2013), no. 2, 186--194. doi:10.35834/mjms/1384266203. https://projecteuclid.org/euclid.mjms/1384266203


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References

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