Acta Universitatis Sapientiae: Mathematica (Dec 2016)
Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚn
Abstract
The purpose of this paper is to study Ricci solitons on QR-hypersurfaces M of a quaternionic space form ℚn such that the shape operator A with respect to N has one eigenvalue. We prove that Ricci soliton on QR-hypersurfaces M with eigenvalue zero is steady and for eigenvalue nonzero is shrinking.
Keywords