The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections
In the present paper, the (HM',S,T)-Cartan connections on pseudo-Finsler manifolds, introduced by A. Bejancu and H.R. Farran, are obtained by the natural almost complex structure arising from the nonlinear connection HM'. We prove that the natural almost complex linear connection associate...
Збережено в:
| Дата: | 2006 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146100 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections / E. Esrafilian, H.R. Salimi Moghaddam // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | In the present paper, the (HM',S,T)-Cartan connections on pseudo-Finsler manifolds, introduced by A. Bejancu and H.R. Farran, are obtained by the natural almost complex structure arising from the nonlinear connection HM'. We prove that the natural almost complex linear connection associated to a (HM',S,T)-Cartan connection is a metric linear connection with respect to the Sasaki metric G. Finally we give some conditions for (M',J,G) to be a Kähler manifold. |
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