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
Full text of the article: