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The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections
Інший ID:
2000 Mathematics Subject Classification: 53C07; 53C15; 53C60; 58B20
Посилання:
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.
Підтримка:
The authors are grateful to the referees for their valuable suggestions on this paper.
Дата:
2006
Переглядів:
498
Завантажень:
241
Анотація:
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.
