dc.creator | Ali Chaouch, Mohamed | |
dc.creator | Torki – Hamza, Nabila | |
dc.date | 2017-04-18 | |
dc.date.accessioned | 2019-11-14T11:59:34Z | |
dc.date.available | 2019-11-14T11:59:34Z | |
dc.identifier | https://www.revistaproyecciones.cl/article/view/1439 | |
dc.identifier | 10.4067/S0716-09172007000100001 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/113170 | |
dc.description | In Riemannian foliation, a transverse affine vector field preserves the curvature and its covariant derivatives. In this paper we solve the converse problem. Actually, we show that an infinitesimal automorphism of a Riemannian foliation which preserves the curvature and its covariant derivatives induces a transverse almost homothetic vector field. If in addition the manifold is closed and the foliation is irreducible harmonic, then a such infinitesimal automorphism induces a transverse killing vector field. | es-ES |
dc.format | application/pdf | |
dc.language | spa | |
dc.publisher | Universidad Católica del Norte. | es-ES |
dc.relation | https://www.revistaproyecciones.cl/article/view/1439/1220 | |
dc.rights | Derechos de autor 2007 Proyecciones. Journal of Mathematics | es-ES |
dc.source | Proyecciones. Journal of Mathematics; Vol 26 No 1 (2007); 1-25 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 26 Núm. 1 (2007); 1-25 | es-ES |
dc.source | 0717-6279 | |
dc.source | 0716-0917 | |
dc.subject | Riemannian foliation | es-ES |
dc.subject | Harmonic foliation | es-ES |
dc.subject | Irreducible foliation | es-ES |
dc.subject | Transverse vector field. | es-ES |
dc.title | On some infinitesimal automorphisms of Riemannian foliation | es-ES |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Artículo revisado por pares | es-ES |