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2019 | 33 | 143--152
Tytuł artykułu

D-homothetically Deformed Kenmotsu Metric as a Ricci Soliton

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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)
Rocznik
Tom
33
Strony
143--152
Opis fizyczny
Twórcy
  • Bangalore University Department of Mathematics
  • 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.
  • Blair D.E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics, Vol. 509, Springer-Verlag, Berlin-Heidelberg, 1976.
  • De U.C., Yildiz A., Yalınız A.F., On ϕ-recurrent Kenmotsu manifolds, Turkish J. Math. 33 (2009), no. 1, 17-25.
  • 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.
  • Nagaraja H.G., Premalatha C.R., D_a-homothetic deformation of K-contact manifolds, ISRN Geom. 2013, Art. ID 392608, 7 pp.
  • 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.
  • Nagaraja H.G., Premalatha C.R., Ricci solitons in Kenmotsu manifolds, J. Math. Anal. 3 (2012), no. 2, 18-24.
  • Shaikh A.A., Baishya K.K., Eyasmin S., On D-homothetic deformation of trans-Sasakian structure, Demonstratio Math. 41 (2008), no. 1, 171-188.
  • Sharma R., Certain results on K-contact and (k,μ)-contact manifolds, J. Geom. 89 (2008), no. 1, 138-147.
  • Sharma R., Ghosh A., Sasakian 3-manifold as a Ricci soliton represents the Heisenberg group, Int. J. Geom. Methods Mod. Phys. 8 (2011), no. 1, 149-154.
  • Tanno S., The topology of contact Riemannian manifolds, Illinois J. Math. 12 (1968), 700-717.
  • Yano K., Integral Formulas in Riemannian Geometry, Pure and Applied Mathematics, No. 1, Marcel Dekker, Inc., New York, 1970.
  • Yildiz A., De U.C., Turan M., On 3-dimensional f-Kenmotsu manifolds and Ricci solitons, Ukrainian Math. J. 65 (2013), no. 5, 684-693.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171605613

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