On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle. (5th March 2015)

• Record Type: Journal Article
• Authors: Ida, Cristian; Oană, Alexandru
• Other Names: Leach Peter G. L. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2015(2015)
• Publication Date: 2015-03-05
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2015/218912
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : We consider the lift of a foliation to its conormal bundle and some transverse geometrical structures associated with this foliation are studied. We introduce a good vertical connection on the conormal bundle and, moreover, if the conormal bundle is endowed with a transversal Cartan metric, we obtain that the lifted foliation to its conormal bundle is a Riemannian one. Also, some transversally framed f ( 3, ε ) -structures of corank 2 on the normal bundle of lifted foliation to its conormal bundle are introduced and an almost (para)contact structure on a transverse Liouville distribution is obtained.