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...
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| Дата: | 2006 |
|---|---|
| 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| id |
irk-123456789-146100 |
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dspace |
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irk-123456789-1461002019-02-08T01:23:27Z The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections Esrafilian, E. Salimi Moghaddam, R.H. 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. 2006 Article 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. 1815-0659 2000 Mathematics Subject Classification: 53C07; 53C15; 53C60; 58B20 http://dspace.nbuv.gov.ua/handle/123456789/146100 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Esrafilian, E. Salimi Moghaddam, R.H. |
| spellingShingle |
Esrafilian, E. Salimi Moghaddam, R.H. The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Esrafilian, E. Salimi Moghaddam, R.H. |
| author_sort |
Esrafilian, E. |
| title |
The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections |
| title_short |
The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections |
| title_full |
The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections |
| title_fullStr |
The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections |
| title_full_unstemmed |
The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections |
| title_sort |
relation between the associate almost complex structure to hm' and (hm',s,t)-cartan connections |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146100 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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