An Application of Stochastic Flows to Riemannian Foliations
| dc.creator | Mason, Alan | |
| dc.date | 1998-12-18 | |
| dc.date | 1999-12-02 | |
| dc.date.accessioned | 2026-07-07T05:27:18Z | |
| dc.date.available | 2026-07-07T05:27:18Z | |
| dc.description | A stochastic flow is constructed on a frame bundle adapted to a Riemannian foliation on a compact manifold. The generator A of the resulting transition semigroup is shown to preserve the basic functions and forms, and there is an essentially unique strictly positive smooth function phi satisfying A^* phi = 0. This function is used to perturb the metric, and an application of the ergodic theorem shows that there exists a bundle-like metric for which the basic projection of the mean curvature is basic-harmonic. | |
| dc.description | LaTex, 36 pages, no figures. To appear in Houston Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/9812117 | |
| dc.identifier | http://arxiv.org/abs/math/9812117 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77872 | |
| dc.subject | Differential Geometry | |
| dc.subject | Probability | |
| dc.title | An Application of Stochastic Flows to Riemannian Foliations | |
| dc.type | text |