Remote Access Conformal Geometry and Dynamics
Green Open Access

Conformal Geometry and Dynamics

ISSN 1088-4173

 
 

 

Almost Kenmotsu metric as a conformal Ricci soliton


Authors: Dibakar Dey and Pradip Majhi
Journal: Conform. Geom. Dyn. 23 (2019), 105-116
MSC (2010): Primary 53D15; Secondary 53A30, 53C25
DOI: https://doi.org/10.1090/ecgd/335
Published electronically: June 21, 2019
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In the present paper, we characterize $ (k,\mu )'$ and generalized $ (k,\mu )'$-almost Kenmotsu manifolds admitting the conformal Ricci soliton. It is also shown that a $ (k,\mu )'$-almost Kenmotsu manifold $ M^{2n+1}$ does not admit conformal gradient Ricci soliton $ (g,V,\lambda )$ with $ V$ collinear with the characteristic vector field $ \xi $. Finally an illustrative example is presented.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Conformal Geometry and Dynamics of the American Mathematical Society with MSC (2010): 53D15, 53A30, 53C25

Retrieve articles in all journals with MSC (2010): 53D15, 53A30, 53C25


Additional Information

Dibakar Dey
Affiliation: Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata - 700019, West Bengal, India
Email: deydibakar3@gmail.com

Pradip Majhi
Affiliation: Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata - 700019, West Bengal, India
Email: mpradipmajhi@gmail.com

DOI: https://doi.org/10.1090/ecgd/335
Keywords: Conformal Ricci soliton, conformal gradient Ricci soliton, almost Kenmotsu manifolds, nullity distributions
Received by editor(s): July 19, 2018
Published electronically: June 21, 2019
Additional Notes: The first author was supported by the Council of Scientific and Industrial Research, India (File no: 09/028(1010)/2017-EMR-1) in the form of Junior Research Fellowship.
Article copyright: © Copyright 2019 American Mathematical Society