Resumen de Ricci solitons in manifolds with quasi-constant curvature

Cornelia Livia Bejan, Mircea Crasmareanu

• The Eisenhart problem of nding parallel tensors treated already in the framework of quasi-constant curvature manifolds in [Jia] 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 eld and ii) shrinking on a class of orientable quasi-umbilical hypersurfaces of a real projective space=elliptic space form.