On the projections of Laplacians under Riemannian submersions
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 di...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201003751 |
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| _version_ | 1841524470265675776 |
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| author | Huiling Le |
| author_facet | Huiling Le |
| author_sort | Huiling Le |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-835e3194cc85440e896f580286e2b6ee |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-835e3194cc85440e896f580286e2b6ee2025-02-03T05:53:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01251334210.1155/S0161171201003751On the projections of Laplacians under Riemannian submersionsHuiling Le0School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UKWe 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.http://dx.doi.org/10.1155/S0161171201003751 |
| spellingShingle | Huiling Le On the projections of Laplacians under Riemannian submersions International Journal of Mathematics and Mathematical Sciences |
| title | On the projections of Laplacians under Riemannian submersions |
| title_full | On the projections of Laplacians under Riemannian submersions |
| title_fullStr | On the projections of Laplacians under Riemannian submersions |
| title_full_unstemmed | On the projections of Laplacians under Riemannian submersions |
| title_short | On the projections of Laplacians under Riemannian submersions |
| title_sort | on the projections of laplacians under riemannian submersions |
| url | http://dx.doi.org/10.1155/S0161171201003751 |
| work_keys_str_mv | AT huilingle ontheprojectionsoflaplaciansunderriemanniansubmersions |