Properties of Generalized Berwald Connections

Details Properties of Generalized Berwald Connections Properties of Generalized Berwald Connections

2009-02-02

arxiv.org/abs/0902.0226v2

Bulletin of the Iranian Mathematical Socitey, Vol. 35, No. 1, 2009, pp 1-18

Mathematics

Differential Geometry

Accepted for Publication in the Bulltin of IMS

Scientific paper

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.

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