Almost geodesic mappings onto generalized Ricci-symmetric manifolds

No Thumbnail Available
Date
2010
Authors
Березовський, Володимир Євгенійович
Berezovskii, V. E.
Journal Title
Journal ISSN
Volume Title
Publisher
College of Nyíregyháza
Abstract
Our aim is to continue investigations concerning existence of almost geodesic mappings of manifolds with linear connection. We deduce necessary and sufficient conditions for existence of the so-called canonical almost geodesic mappings of type π of a manifold endowed with a linear connection onto generalized Ricci-symmetric manifolds. Our result is a generalization of some previous results by N. S. Sinyukov.
Description
Keywords
linear connection, manifold, Riemannian space, Ricci-symmetric space, geodesic mapping, almost geodesic mapping
Citation
Berezovsky, Volodymyr; Mikes, Josef; Vanzurová, Alena Almost geodesic mappings onto generalized Ricci-symmetric manifolds. Acta Math. Acad. Paedagog. Nyházi. (N.S.) 26, No. 2, 221-230, electronic only (2010).