A Kato type inequality for Riemannian submersions with totally geodesic fibers
Let M be a compact Riemannian manifold which is the total space of a Riemannian submersion having totally geodesic fibers. This paper gives an inequality bounding the heat kernel of M from above in terms of the heat kernels of the base space and the typical fiber.
scientific article; zbMATH DE number 4026282