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Some examples of Randers spaces

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
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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