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THE HEAT KERNEL ON HYPERBOLIC SPACE

Published online by Cambridge University Press:  01 November 1998

ALEXANDER GRIGOR'YAN  and
MASAKAZU NOGUCHI
ALEXANDER GRIGOR'YAN
Affiliation:
Department of Mathematics, Imperial College, London SW7 2BZ
MASAKAZU NOGUCHI
Affiliation:
Department of Mathematics, Imperial College, London SW7 2BZ
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Abstract

The purpose of this note is to provide a new proof for the explicit formulas of the heat kernel on hyperbolic space. By definition, the hyperbolic space IHn is a (unique) simply connected complete n-dimensional Riemannian manifold with a constant negative sectional curvature −1.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 6 , November 1998 , pp. 643 - 650
Copyright
© The London Mathematical Society 1998

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