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

I.G. Avramidi
1994 Physics Letters B  
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.
doi:10.1016/0370-2693(94)00994-5 fatcat:rofvwhhhqzhzzhmkz43w4na43m