Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚn-Reference-Cited by-同舟云学术

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

Published:2016-12-01 Issue:2 Volume:8 Page:271-281
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Nazari Z.¹,Abedi E.¹

Affiliation:

1. Department of Mathematics Azarbaijan Shahid Madani University, Tabriz, Iran (Islamic Republic of)

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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