%0 Journal Article
%T Ricci solitons in manifolds with quasi-constant curvature
%A Cornelia Livia Bejan
%A Mircea Crasmareanu
%J Mathematics
%D 2010
%I arXiv
%X The Eisenhart problem of finding parallel tensors treated already in the framework of quasi-constant curvature manifolds in \cite{x:j} is reconsidered for the symmetric case and the result is interpreted in terms of Ricci solitons. If the generator of the manifold provides a Ricci soliton then this is i) expanding on para-Sasakian spaces with constant scalar curvature and vanishing $D$-concircular tensor field and ii) shrinking on a class of orientable quasi-umbilical hypersurfaces of a real projective space=elliptic space form.
%U http://arxiv.org/abs/1006.4737v1