arXiv:0902.0226 [math.DG]AbstractReferencesReviewsResources
Properties of Generalized Berwald Connections
Published 2009-02-02, updated 2009-02-03Version 2
Recently the present authors introduced a general class of Finsler connections which leads to a smart representation of connection theory in Finsler geometry and yields to a classification of Finsler connections into the three classes. Here the properties of one of these classes namely the Berwald-type connections which contains Berwald and Chern(Rund) connections as a special case is studied. It is proved among the other that the hv-curvature of these connections vanishes if and only if the Finsler space is a Berwald one. Some applications of this connection is discussed.
Comments: Accepted for Publication in the Bulltin of IMS
Journal: Bulletin of the Iranian Mathematical Socitey, Vol. 35, No. 1, 2009, pp 1-18
Categories: math.DG
Subjects: 53B40
Keywords: generalized berwald connections, properties, finsler connections, general class, special case
Tags: journal article
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