Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 24, No. 1, pp. 15-23 (2008)

Some examples of Randers spaces

M. Anastasiei and M. Gheorghe

University Al.I. Cuza, Mathematical Institute O. Mayer

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.

Keywords: Randers metrics, Riemannian almost product structures, induced structures on submanifolds

Classification (MSC2000): 53C60; 53C25

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