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

• ricci soliton
• quaternionic space form
• qr-hypersurfaces
• 53c25
• 53c15
• 53c40