Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚⁿ

Abstract

Abstract. The purpose of this paper is to study Ricci solitons on QRhypersurfaces M of a quaternionic space form Q n 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.