THE HEAT KERNEL ON SYMMETRICAL SPACES VIA INTEGRATING OVER THE GROUP OF ISOMETRIES

被引：15

作者：

AVRAMIDI, IG

机构：

[1] Department of Mathematics, University of Greifswald, 17489 Greifswald

来源：

PHYSICS LETTERS B | 1994年 / 336卷 / 02期

关键词：

D O I：

10.1016/0370-2693(94)00994-5

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A new algebraic approach for calculating the heat kernel for the Laplace operator on any Riemannian manifold with covariantly constant curvature is proposed. It is shown that the heat kernel operator can be obtained by an averaging over the Lie group of isometries. The heat kernel diagonal is obtained in form of an integral over the isotropy subgroup.

引用

页码：171 / 177

页数：7

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