Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚn
oraz | 23 sty 2017
O artykule
Data publikacji: 23 sty 2017
Zakres stron: 271 - 281
Otrzymano: 26 kwi 2016
DOI: https://doi.org/10.1515/ausm-2016-0018
Słowa kluczowe
© 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.