On some infinitesimal automorphisms of Riemannian foliation

dc.creator	Ali Chaouch, Mohamed	es
dc.creator	Torki – Hamza, Nabila	es
dc.date	2017-04-18
dc.date.accessioned	2025-10-06T15:05:07Z
dc.date.available	2025-10-06T15:05:07Z
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1439
dc.identifier	10.4067/S0716-09172007000100001
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/255549
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
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1439/1220
dc.rights	Copyright (c) 2007 Proyecciones. Journal of Mathematics	en
dc.source	Proyecciones (Antofagasta); Vol. 26 No. 1 (2007); 1-25	en
dc.source	Proyecciones. Revista de Matemática; Vol. 26 Núm. 1 (2007); 1-25	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2007
dc.title	On some infinitesimal automorphisms of Riemannian foliation	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion