Almost invariant submanifolds for compact group actions
| dc.creator | Weinstein, Alan | |
| dc.date | 1999-08-25 | |
| dc.date | 1999-09-13 | |
| dc.date.accessioned | 2026-07-07T05:30:29Z | |
| dc.date.available | 2026-07-07T05:30:29Z | |
| dc.description | We define a C^1 distance between submanifolds of a riemannian manifold M and show that, if a compact submanifold N is not moved too much under the isometric action of a compact group G, there is a G-invariant submanifold C^1-close to N. The proof involves a procedure of averaging nearby submanifolds of riemannian manifolds in a symmetric way. The procedure combines averaging techniques of Cartan, Grove/Karcher, and de la Harpe/Karoubi with Whitney's idea of realizing submanifolds as zeros of sections of extended normal bundles. | |
| dc.description | 40 pages, minor corrections and additions | |
| dc.identifier | https://arxiv.org/abs/math/9908133 | |
| dc.identifier | http://arxiv.org/abs/math/9908133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79006 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C20 | |
| dc.title | Almost invariant submanifolds for compact group actions | |
| dc.type | text |