SOME CHARACTERIZATIONS OF THREE-DIMENSIONAL f-KENMOTSU RICCI SOLITONS

Avijit Sarkar, Pradip Bhakta

DOI Number
https://doi.org/10.22190/FUMI2004049S
First page
1049
Last page
1057

Abstract


The aim of the present paper is to give some characterizations of f-Kenmotsu
Ricci soliton with a supporting example.


Keywords

f-Kenmotsu manifold; Ricci almost soliton; gradient Ricci soliton.

Full Text:

PDF

References


D. E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509 (1976), Springer-Verlag.

U. C. De and A. Sarkar, On φ-Ricci symmetric Sasakian manifolds, Proceding of the Jangjeon Mathematical society, 11 (2008), 47-52.

U. C. De and A. Sarkar, On three-dimensional quasi-Sasakian manifolds, SUT Journal of Mathematics, 45 (2009), 59-71.

A. Ghosh, Certain contact metric as Ricci almost solitons, Results Math, 65 (2014), 81-94.

R. S. Hamilton, Ricci flow on surfaces, Contemp. Math, 71 (1988), 237-261.

S. K. Hui, Almost conformal Ricci solitons on f-Kenmotsu manifolds, Khayyam Journal of Mathematics, 5 (2019), 89-104.

D. Janssens and L. Vanhecke, Almost cotact structures and curvature tensor, Kodai Math. J, 4 (1981), 1-27.

K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku Math. Journal, 24 (1972), 93-103.

Z. Olszak, Locally conformal almost cosympletic manifolds, Colloq. Math. 57 (1989), 73-87.

Z. Olszak, Rosca, R., Normal locally conformal almost cosympletic manifolds, Publ. Math. Debrecen 39 (1991) 315-323.

G. Perelman, The entropy formula for the Ricci flow and its geometric applications, arXiv: 0211159 mathDG, (2002)(Preprint).

S. Pigola et al., Ricci almost solitons, Ann. Sc. Norm. Sup. Pisa Cl. Sci, 10(2011), 757-799.

A. Sarkar, A. Sil and A. K. Paul, Ricci almost soliton on three-dimensional quasi-Sasakian manifold, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci, 89(2019), 705-710.

A. Sarkar and P. Bhakta, Ricci almost soliton on (κ,µ) space forms, Acta Universitatis Apulensis, 57(2019), 75-85.

A. Sarkar, A. Sil and A. K. Paul, Ricci soliton on three dimensional trans Sasakian manifold and Kagan Subprojective spaces, Eukrainian Math Journal, 72(2020), 488-494.

R. Sharma, Almost Ricci solitons and K-contact geometry. Montash Math., 175 (2014), 621-628.

T. Takahashi, Sasakian φ-symmetric spaces, Tohoku Math. J, 29 (1977), 91-113.




DOI: https://doi.org/10.22190/FUMI2004049S

Refbacks

  • There are currently no refbacks.




© University of Niš | Created on November, 2013
ISSN 0352-9665 (Print)
ISSN 2406-047X (Online)