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Oct 30, 2011 at 18:09 comment added Matthias Ludewig On compact riemannian manifolds, you have an asymptotic heat kernel, which is basically the euclidean heat kernel with correction terms coming from the metric and its derivatives.
Oct 30, 2011 at 16:11 comment added TerronaBell Thanks Brian. Actually I'm interested in geometries for which there is no known analytical solution for (k_t). Often these are compact spaces without boundary.
Oct 30, 2011 at 15:47 history answered Brian Borchers CC BY-SA 3.0