On the projections of Laplacians under Riemannian submersions

Huiling Le

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-10

Abstract:

We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M . Equivalently, this condition ensures that a Riemannian submersion maps Brownian motion to a diffusion.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:869419

DOI: 10.1155/S0161171201003751

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