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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 067, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.067 (Mi sigma95) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Relation Between the Associate Almost Complex Structure to $HM'$ and $(HM',S,T)$-Cartan Connections

Ebrahim Esrafilian, Hamid Reza Salimi Moghaddam

Department of Pure Mathematics, Faculty of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, Iran
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DOI: https://doi.org/10.3842/SIGMA.2006.067
Abstract: 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.
Keywords: almost complex structure; Kähler and pseudo-Finsler manifolds; $(HM',S,T)$-Cartan connection.
Received: April 8, 2006; in final form August 30, 2006; Published online September 6, 2006
Bibliographic databases:
Document Type: Article
MSC: 53C07; 53C15; 53C60; 58B20
Language: English
Citation: Ebrahim Esrafilian, Hamid Reza Salimi Moghaddam, “The Relation Between the Associate Almost Complex Structure to $HM'$ and $(HM',S,T)$-Cartan Connections”, SIGMA, 2 (2006), 067, 7 pp.
Citation in format AMSBIB
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\paper The Relation Between the Associate Almost Complex Structure to $HM'$ and $(HM',S,T)$-Cartan Connections
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\papernumber 067
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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