Anastasiei, M. and Gheorghe, M. (2008) Some examples of Randers spaces. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 24 (1). pp. 15-23. ISSN 0866-0174
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Abstract
A Riemannian almost product structure on a manifold induces on a submanifold of codimension 1 a structure generalizing the paracontact structures and containing a Riemannain metric and an one form . We show that the pair consisting of this Riemannian metric and one form defines a strongly convex Randers metric on submanifold. We establish some properties of this Randers metric and we provide some examples.
| Item Type: | Article |
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| Uncontrolled Keywords: | Randers metrics, Riemannian almost product structures, induced structures on submanifolds |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 01 Feb 2024 10:31 |
| Last Modified: | 01 Feb 2024 10:31 |
| URI: | http://real.mtak.hu/id/eprint/186968 |
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