Published Online: Jan 23, 2017
Page range: 271 - 281
Received: Apr 26, 2016
DOI: https://doi.org/10.1515/ausm-2016-0018
Keywords
© 2016 Z. Nazari et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.