title: On some transverse geometrical structures of lifted foliation to its conormal bundle.
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.
authors.affiliation: Department of Mathematics and Computer Science, Transilvania University of Braşov, Street Iuliu Maniu 50, 500091 Braşov, Romania.
authors.forename: Cristian
authors.initials: C
authors.lastname: Ida
authors.affiliation: Department of Mathematics and Computer Science, Transilvania University of Braşov, Street Iuliu Maniu 50, 500091 Braşov, Romania.
authors.forename: Alexandru
authors.initials: A
authors.lastname: Oană