Yaklaşık Kosimplektik Manifoldlar Üzerinde η Ricci Solitonlar

Bu çalışmanın amacı yaklaşık kosimplektik manifoldlar üzerinde η −Ricci solitonlar ele alınarak bazı eğrilik koşulları altında bu tür manifoldların yapısını incelemektir.

η - Ricci Solitons On Nearly Cosymplectic Manifolds

The object of the present paper is to examine η −Ricci solitons on nearly cosymplectic manifolds and investigate curvature conditions for which η −Ricci solitons in nearly cosymplectic manifolds.

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Aktan, N. & Tekin, P. 2017. ‘'An introduction to the new type of Globally framed manifolds'', AIP Conference Proceedings, 20051-20060.
Ayar, G. & Tekin, P.& Aktan, N. 2019. “Some curvature conditions on nearly cosymplectic manifolds”, Indian Journal of Industrial and Applied Mathematics, 10(1), 51-58.
Ayar, G. & Yıldırım, M. 2019. “ Ricci solitons on nearly Kenmotsu Manifolds”, Asian Europan journal of Mathematics, 13(1), 2040002 (8pages)
Ayar, G. & Yıldırım, M. 2019. “ Ricci solitons and gradient Ricci solitons on nearly Kenmotsu manifolds”, Facta Unıversitatis (NIS) Ser. Math. Inform, 34(3), 503-510.
Blair, D.E. 1972. “Almost Contact Mani- folds with Killing Structure Tensors I”, Pacific Journal of Mathematics, 39(2), 285- 292.
Blair, D.E. & and Showers, D.K. 1974. “Almost Contact Manifolds with Killing Structures Tensors II'', Journal of Differential Geometry, 9(4), 577-582.
Blaga, A.M., 2015. ‘‘ ? −Ricci solitons on para-kenmotsu manifolds,'' Balkan Journal of Geometry and Its Applications, 20, 1–13.
Bejan, C.L. & Crasmareanu, M., 2011. ‘‘Ricci solitons in manifolds with quasi-constant curvature,’’ Publicationes Mathematicae Debrecen, 78(1), 235-243.
Banaru, M. 2002. ‘‘On nearly cosymplectic hyper-surfaces in nearly-Kahlerian Manifolds’’, Studia Univ. Babes-Bolyai. Math. Cluj-Napoca, 47(3), 2-11.
Cho, J.T. & Kimura, M., 2009. ‘‘Ricci solitons and real hypersurfaces in a complex space form'', Tohoku Math. Journal, 61(2), 205-212.
Calin,C. & Crasmareanu, M., 2012. ‘‘Eta- Ricci solitons on Hopf hypersurfaces in complex space forms'', Revue Roumaine de Mathematiques pures et appliques, 57(1), 55- 63.
De Nicola, A. & Dileo, G. & Yudin, I. 2018. ‘‘On Nearly Sasakian and Nearly Cosymplectic Manifolds'', Annali di Matematica , (197)1, 127–138.
Endo, H. 2005. ‘‘On the Curvature Tensor of Nearly Cosymplectic Manifolds of Constant ?-sectional curvature'', An. Stiit. Univ. "Al. I. Cuza" Iasi. Mat. (N.S.), 439-454.
Hamilton, R.S. 1982. ‘‘Three-manifolds with positive Ricci curvature'', Journal of Differential Geometry, 17(2), 255-306.
Hamilton, R.S. 1986. ‘‘The Ricci flow on sur- faces'', Mathematics and general relativity (Santa Cruz, CA, 1986), Contemp. Math., American Math. Soc., 71, 237-262.
Perelman, G. (2002)‘'The entopy formula for the Ricci flow and its geometric applications'', http://arUiv.org/abs/math.DG/02111159.
Sharma, R. 2014. ‘‘Almost Ricci solitons and K-contact geometry, '' Monatsh. Math., 175, 621–628.
Sharma, R., B.B. Sinha, 1983. “On para- A- Einstein manifolds”, Publications De L'institutMathematique, 34(48), 211-215. Tripathi, M.M.,2008. ‘‘Ricci solitons in contact metric manifold,''arUiv:0801,4222v1.
Yıldırım, M. Ayar, G. & 2019. “ Nearly cosymplectic manifolds with nullity conditions”, Asian Europan journal of Mathematics, 13(1), 2040012(10pages)