Properties of generalized Berwald connections
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Publication:841429
zbMATH Open1188.53021arXiv0902.0226MaRDI QIDQ841429
Publication date: 16 September 2009
Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/0902.0226
Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)
Related Items (7)
Unnamed Item ⋮ Generalized \(P\)-reducible Finsler metrics ⋮ Shen's \(L\)-process on Berwald connection ⋮ On conformally flat fourth root \((\alpha,\beta)\)-metrics ⋮ Unnamed Item ⋮ A class of Finsler metrics with almost vanishing \(H\)- and \(\Xi\)-curvatures ⋮ Characterization of weakly Berwald fourth-root metrics
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