<abstract xmlns="http://www.w3.org/1999/xhtml">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.</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.

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

Department of Mathematics Azarbaijan Shahid Madani University, Tabriz,

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

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...

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

Published Online: Jan 23, 2017

Page range: 271 - 281

Received: Apr 26, 2016

DOI: https://doi.org/10.1515/ausm-2016-0018

Keywords
Ricci soliton, quaternionic space form, QR-hypersurfaces

© 2016 Z. Nazari et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jan 23, 2017

Page range: 271 - 281

Received: Apr 26, 2016

DOI: https://doi.org/10.1515/ausm-2016-0018

KeywordsRicci soliton, quaternionic space form, QR-hypersurfaces

© 2016 Z. Nazari et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Keywords
Ricci soliton, quaternionic space form, QR-hypersurfaces