On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle

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 obtai...

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Detalles Bibliográficos
Autores principales: Ida, Cristian, Oană, Alexandru
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4365382/
https://www.ncbi.nlm.nih.gov/pubmed/25834835
http://dx.doi.org/10.1155/2015/218912
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author Ida, Cristian
Oană, Alexandru
author_facet Ida, Cristian
Oană, Alexandru
author_sort Ida, Cristian
collection PubMed
description 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.
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spelling pubmed-43653822015-04-01 On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle Ida, Cristian Oană, Alexandru ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2015 2015-03-05 /pmc/articles/PMC4365382/ /pubmed/25834835 http://dx.doi.org/10.1155/2015/218912 Text en Copyright © 2015 C. Ida and A. Oană. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Ida, Cristian
Oană, Alexandru
On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle
title On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle
title_full On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle
title_fullStr On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle
title_full_unstemmed On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle
title_short On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle
title_sort on some transverse geometrical structures of lifted foliation to its conormal bundle
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4365382/
https://www.ncbi.nlm.nih.gov/pubmed/25834835
http://dx.doi.org/10.1155/2015/218912
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