The heat kernel on symmetric spaces via integrating over the group of isometries

Details The heat kernel on symmetric spaces via integrating over the group of isometries The heat kernel on symmetric spaces via integrating over the group of isometries

1995-09-14

arxiv.org/abs/hep-th/9509079v1

Phys.Lett.B336:171-177,1994

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Plain TeX, 21 KB, no figures

Scientific paper

10.1016/0370-2693(94)00994-5

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.

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