A Kato type inequality for Riemannian submersions with totally geodesic fibers (Q1094685)
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scientific article; zbMATH DE number 4026282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Kato type inequality for Riemannian submersions with totally geodesic fibers |
scientific article; zbMATH DE number 4026282 |
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A Kato type inequality for Riemannian submersions with totally geodesic fibers (English)
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1986
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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.
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Laplacian
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Riemannian submersion
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totally geodesic fibers
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heat kernel
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