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

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

The purpose of this paper is to study Ricci solitons on QR-hypersurfaces M of a quaternionic space form ℚ 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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Veröffentlicht in:Acta universitatis sapientiae. Mathematica 2016-12, Vol.8 (2), p.271-281
Hauptverfasser: Nazari, Z., Abedi, E.
Format: Artikel
Sprache:eng
Schlagworte:
53C15
53C25
53C40
QR-hypersurfaces
quaternionic space form
Ricci soliton
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Zusammenfassung:The purpose of this paper is to study Ricci solitons on QR-hypersurfaces M of a quaternionic space form ℚ 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.
ISSN:2066-7752
DOI:10.1515/ausm-2016-0018