On generalized recurrent Riemannian manifolds
Date
2009-04
Authors
De, Uday Chand
Yıldız, Ahmet
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
The object of the present paper is to study a type of Riemannian manifolds called generalized recurrent manifolds. We have constructed two concrete examples of such a manifold whose scalar curvature is non-zero non-constant. Some other properties have been considered. Among others it is shown that on a generalized recurrent manifold with constant scalar curvature, Weyl-semisymmetry and semisymmetry are equivalent. Sufficient condition for a generalized recurrent manifold to be a special quasi Einstein manifold is obtained.
Description
Keywords
Concirculary recuren manifold, Generalized recurrent manifold, Quasi-Einstein manifold, Ricci-semisymmetry, Classification, Mathematics
Citation
Arslan, K. vd. (2009). "On generalized recurrent Riemannian manifolds". Acta Mathematica Hungarica, 123(1-2). 27-39.