Nagano, T. and Aikou, T. (2008) Dual connections in Finsler geometry. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 24 (1). pp. 103-114. ISSN 0866-0174
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Abstract
In the present paper, we generalize the notion of statistical structure and its dual connection in Riemannian geometry to Finsler geometry. We shall show that the Berwald connection D of a Finsler manifold is a statistical structure. In particular, as an application of this fact, we shall show that, if the hh-curvature of the Berwald connection D vanishes identically, then the given Finsler metric induces a Hessian metric on the base manifold.
| Item Type: | Article |
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| Uncontrolled Keywords: | Finsler connections, dual connections |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 01 Feb 2024 11:32 |
| Last Modified: | 01 Feb 2024 11:32 |
| URI: | http://real.mtak.hu/id/eprint/186979 |
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