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

Z. Nazari; E. Abedi

doi:10.1515/ausm-2016-0018

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.

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

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