On the vertical bundle of a pseudo-Finsler manifold
We define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299226373 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566876358574080 |
|---|---|
| author | Aurel Bejancu Hani Reda Farran |
| author_facet | Aurel Bejancu Hani Reda Farran |
| author_sort | Aurel Bejancu |
| collection | DOAJ |
| description | We define the Liouville distribution on the tangent bundle of a
pseudo-Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution. |
| format | Article |
| id | doaj-art-05ba4eb82dda4c2c9183eb87dd90a341 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-05ba4eb82dda4c2c9183eb87dd90a3412025-02-03T01:02:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122363764210.1155/S0161171299226373On the vertical bundle of a pseudo-Finsler manifoldAurel Bejancu0Hani Reda Farran1Department of Mathematics, Technical University of Iasi, C. P. 17, Iasi 1, Iasi 6600, RomaniaDepartment of Mathematics and Computer Sciences, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitWe define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.http://dx.doi.org/10.1155/S0161171299226373Pseudo-Finsler manifoldLiouville distributionvertical bundle. |
| spellingShingle | Aurel Bejancu Hani Reda Farran On the vertical bundle of a pseudo-Finsler manifold International Journal of Mathematics and Mathematical Sciences Pseudo-Finsler manifold Liouville distribution vertical bundle. |
| title | On the vertical bundle of a pseudo-Finsler manifold |
| title_full | On the vertical bundle of a pseudo-Finsler manifold |
| title_fullStr | On the vertical bundle of a pseudo-Finsler manifold |
| title_full_unstemmed | On the vertical bundle of a pseudo-Finsler manifold |
| title_short | On the vertical bundle of a pseudo-Finsler manifold |
| title_sort | on the vertical bundle of a pseudo finsler manifold |
| topic | Pseudo-Finsler manifold Liouville distribution vertical bundle. |
| url | http://dx.doi.org/10.1155/S0161171299226373 |
| work_keys_str_mv | AT aurelbejancu ontheverticalbundleofapseudofinslermanifold AT haniredafarran ontheverticalbundleofapseudofinslermanifold |