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On generalized Finsler structures with a vanishing $hv$-torsion
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Abstract
A canonical Finsler connection NΓ is defined by a generalized Finsler structure called a (G,N)-structure, where G is a generalized Finsler metric and N is a nonlinear connection given in a differentiable manifold, respectively. If NΓ is linear, then the (G,N)-structure has a linearity in a sense and is called Berwaldian. In the present paper, we discuss what it means that NΓ is with a vanishing hv-torsion: Pi jk = 0 and introduce the notion of a stronger type for linearity of a (G,N)-structure. For important examples, we finally investigate the cases of a Finsler manifold and a Rizza manifold.
참고문헌 (8)
- "Finsler metrics on almost complex manifolds", 4, pp.128~ (1988)
- "Conformally at Finsler structures", pp.1325~ (1991)
- "Kaehlerian Finsler manifolds of Chern type", 57, pp.916~ (1999)
- "On the atness of generalized Finsler manifolds and Kaehlerian Finslermanifolds of Chern type", 59, pp.1118~ (2000)
- "On generalized Finsler structures I", 61, pp.49~62 (2001)
- "Metrical Finsler structures and metrical Finsler connections", 23 (1983)
- "Minkowskian product of Finsler spaces and Berwald connection", 22 (1982)
- "Strutture di Finsler sulle varieta quasi complesse", 33 (1962)
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