Pincement des sous-varietes extrinsequement homogenes dans un espace euclidien
| dc.creator | Quast, Peter | |
| dc.date | 2005-03-14 | |
| dc.date | 2005-06-29 | |
| dc.date.accessioned | 2026-07-07T05:17:56Z | |
| dc.date.available | 2026-07-07T05:17:56Z | |
| dc.description | Consider a closed manifold $M$ immersed in $\R^m.$ Suppose that the trivial bundle $M\times\R^m=TM\otimes νM$ is equipped with an almost metric connection $\tilde{\nabla}$ which almost preserves the decomposition of $M\times\R^m$ into the tangent and the normal bundle. Assume moreover that the difference $Γ=\partial-\tilde{\nabla}$ with the usual derivative $\partial$ in $\R^m$ is almost $\tilde{\nabla}$-parallel. We show that under these assumptions $M$ admits an extrinsically homogeneous immersion into $\R^m.$ | |
| dc.description | Detailed explications and proofs can be found in the article "Almost extriniscally homogeneous submanifolds of euclidean space" which will appear in the Journal "Annals of Global Analysis and Geometry" | |
| dc.identifier | https://arxiv.org/abs/math/0503271 | |
| dc.identifier | http://arxiv.org/abs/math/0503271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74487 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C20; 53C24; 53C30; 53C42; 53C40 | |
| dc.title | Pincement des sous-varietes extrinsequement homogenes dans un espace euclidien | |
| dc.type | text |