Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-28T13:12:18.665Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)