Rezaei, Bahman and Gabrani, Mehran (2017) A class of Berwaldian Finsler metrics. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 33 (2). pp. 349-365. ISSN 0866-0174
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Abstract
In this paper, we study projectively flat Finsler metrics defined by the Euclidean metric and related 1-forms. For this class of Finsler metrics, we find the necessary and sufficient condition to be Berwaldian. Then, we obtain the differential equations that characterize these metrics with vanishing Douglas curvature.
| Item Type: | Article |
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| Uncontrolled Keywords: | Projectively flat metric, Berwald metric, Douglas metric |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 07 Feb 2024 12:21 |
| Last Modified: | 07 Feb 2024 12:21 |
| URI: | http://real.mtak.hu/id/eprint/187795 |
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