Geometric heat comparison criteria for Riemannian manifolds

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The main results of this article are small time heat comparison results for two points in two manifolds with characteristic functions as initial temperature distributions (Theorems 1 and 2). These results are based on the geometric concepts of (essential) distance from the complement and spherical area function. We also discuss some other geometric results about the heat development and illustrate them by examples.
28 pages, 10 figures. See also http://maths.dur.ac.uk/pure/preprint.html

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Mathematical Physics, 58J35; 35K05

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http://salesiana.dossiersoluciones.com/handle/123456789/58086

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0506023
 http://arxiv.org/abs/math-ph/0506023

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arXiv