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Abstrakty
In this paper we study the nature of Ricci solitons in $D$-homothetically deformed Kenmotsu manifolds. We prove that $\eta$-Einstein Kenmotsu metric as a Ricci soliton remains $\eta$-Einstein under $D$-homothetic deformation and the scalar curvature remains constant.(original abstract)
Twórcy
autor
- Bangalore University Department of Mathematics
autor
- Bangalore University Department of Mathematics
autor
- M.S. Ramaiah University of Applied Sciences Department of Mathematics, Faculty of Mathematical and Physical sciences
Bibliografia
- Bejan C.L., Crasmareanu M., Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry, Ann. Global Anal. Geom. 46 (2014), no. 2, 117-127.
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- De U.C., Ghosh S., D-homothetic deformation of normal almost contact metric manifolds, Ukrainian Math. J. 64 (2013), no. 10, 1514-1530.
- Ghosh A., Sharma R., K-contact metrics as Ricci solitons, Beitr. Algebra Geom. 53 (2012), no. 1, 25-30.
- Ghosh A., Sharma R., Sasakian metric as a Ricci soliton and related results, J. Geom. Phys. 75 (2014), 1-6.
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- Nagaraja H.G., Premalatha C.R., Ricci solitons in f-Kenmotsu manifolds and 3-dimensional trans-Sasakian manifolds, Progr. Appl. Math. 3 (2012), no. 2, 1-6.
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Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.ekon-element-000171605613