Language:

Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds

Mathematica Slovaca, 2019-12, Vol.69 (6), p.1447-1458 [Peer Reviewed Journal]

Full text available

Citations Cited by

Title:
Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds
Author: Naik, Devaraja Mallesha ; Kumara, H. Aruna
Subjects: 53C44 ; 53D10 ; 53D15 ; Demand ; Economic models ; Einstein manifold ; Fields (mathematics) ; gradient almost -Ricci soliton ; Kenmotsu manifold ; Primary 53C25 ; Production planning ; Ricci soliton ; Solitary waves
Is Part Of: Mathematica Slovaca, 2019-12, Vol.69 (6), p.1447-1458
Description: In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if ( , ) is a Kenmotsu manifold and is a *-Ricci soliton, then soliton constant λ is zero. For 3-dimensional case, if admits a *-Ricci soliton, then we show that is of constant sectional curvature –1. Next, we show that if admits a *-Ricci soliton whose potential vector field is collinear with the characteristic vector field , then is Einstein and soliton vector field is equal to . Finally, we prove that if is a gradient almost *-Ricci soliton, then either is Einstein or the potential vector field is collinear with the characteristic vector field on an open set of . We verify our result by constructing examples for both *-Ricci soliton and gradient almost *-Ricci soliton.
Publisher: Heidelberg: De Gruyter
Language: English;Czech;French;German;Russian
Identifier: ISSN: 0139-9918
EISSN: 1337-2211
DOI: 10.1515/ms-2017-0321
Source: ProQuest Central

Back to results list


INSPIRE LIBRARY - TON DUC THANG UNIVERSITY	(84-028) 37 755 057	Feedback
19 Nguyen Huu Tho St. Dist.7, HCM	thuvien@tdtu.edu.vn	Feedback

Searching Remote Databases, Please Wait