On some transverse geometrical structures of lifted foliation to its conormal bundle.
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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.
SUBMITTER: Ida C
PROVIDER: S-EPMC4365382 | biostudies-other | 2015
REPOSITORIES: biostudies-other
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