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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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2015/218912 |
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| author | Cristian Ida Alexandru Oană |
| author_facet | Cristian Ida Alexandru Oană |
| author_sort | Cristian Ida |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-97ba29cd1eb24683af262e46f83867c9 |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-97ba29cd1eb24683af262e46f83867c92025-08-20T02:10:07ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/218912218912On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal BundleCristian Ida0Alexandru Oană1Department of Mathematics and Computer Science, Transilvania University of Braşov, Street Iuliu Maniu 50, 500091 Braşov, RomaniaDepartment of Mathematics and Computer Science, Transilvania University of Braşov, Street Iuliu Maniu 50, 500091 Braşov, RomaniaWe 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.http://dx.doi.org/10.1155/2015/218912 |
| spellingShingle | Cristian Ida Alexandru Oană On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2015/218912 |
| work_keys_str_mv | AT cristianida onsometransversegeometricalstructuresofliftedfoliationtoitsconormalbundle AT alexandruoana onsometransversegeometricalstructuresofliftedfoliationtoitsconormalbundle |