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

dc.creatorEsrafilian, Ebrahim
dc.creatorMoghaddam, Hamid Reza Salimi
dc.date2006-09-06
dc.date.accessioned2026-07-07T09:34:33Z
dc.date.available2026-07-07T09:34:33Z
dc.descriptionIn 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.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math/0609177
dc.identifierhttp://arxiv.org/abs/math/0609177
dc.identifierSIGMA 2 (2006), 067, 7 pages
dc.identifierdoi:10.3842/SIGMA.2006.067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159529
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.titleThe Relation Between the Associate Almost Complex Structure to $HM'$ and $(HM',S,T)$-Cartan Connections
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