The Relation Between the Associate Almost Complex Structure to $HM'$ and $(HM',S,T)$-Cartan Connections
Differential Geometry
2008-04-24 v1 Metric Geometry
Abstract
In the present paper, the -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 . We prove that the natural almost complex linear connection associated to a -Cartan connection is a metric linear connection with respect to the Sasaki metric . Finally we give some conditions for to be a K\"ahler manifold.
Keywords
Cite
@article{arxiv.math/0609177,
title = {The Relation Between the Associate Almost Complex Structure to $HM'$ and $(HM',S,T)$-Cartan Connections},
author = {Ebrahim Esrafilian and Hamid Reza Salimi Moghaddam},
journal= {arXiv preprint arXiv:math/0609177},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/