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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146100 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862751607923408896 |
|---|---|
| author | Esrafilian, E. Salimi Moghaddam, R.H. |
| author_facet | Esrafilian, E. Salimi Moghaddam, R.H. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T21:12:21Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146100 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:12:21Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Esrafilian, E. Salimi Moghaddam, R.H. 2019-02-07T13:16:20Z 2019-02-07T13:16:20Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/146100 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. The authors are grateful to the referees for their valuable suggestions on this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections Article published earlier |
| spellingShingle | The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections Esrafilian, E. Salimi Moghaddam, R.H. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146100 |
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