Singular Riemannian Foliations: Exceptional Leaves; Tautness
| dc.creator | Nowak, Eva | |
| dc.date | 2008-12-17 | |
| dc.date.accessioned | 2026-07-07T12:16:16Z | |
| dc.date.available | 2026-07-07T12:16:16Z | |
| dc.description | For a singular Riemannian foliation whose leaves are properly embedded, we show in the first part of this article the existence of global tubular neighbourhoods, and we develop a global description of the foliation as stratification by types of leaves. The second part deals with the further restriction to a foliation without horizontal conjugate points, introduced by Lytchak and Thorbergsson, which in the special case of an isometric group action equals the concept of variationally completeness. Therefrom, we deduce a global geometric description -- the focal points of the leaves are exactly the singular points -- as well as a topological one: tautness of the leaves. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/0812.3316 | |
| dc.identifier | http://arxiv.org/abs/0812.3316 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211749 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C20; 53C12; 53C40 | |
| dc.title | Singular Riemannian Foliations: Exceptional Leaves; Tautness | |
| dc.type | text |