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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.

SUBMITTER: Ida C 

PROVIDER: S-EPMC4365382 | biostudies-other | 2015

REPOSITORIES: biostudies-other

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