Ricci Solution in Kenmotsu Manifolds

Authors

  • H. G. Nagaraja BANGALORE UNIVERSITY
  • K Venu Vijaya College, Bangalore

DOI:

https://doi.org/10.26713/jims.v8i1.313

Keywords:

Ricci solitons, Kenmotsu, φ-recurrent, concircular, pseudo-projective, Ricci recurrent, shrinking, expanding, steady.

Abstract

In this paper we give characterisation of Ricci solitons in Ricci recurrent and Ï†-recurrent Kenmotsu manifolds based on the 1-form.Mathematical

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Author Biographies

H. G. Nagaraja, BANGALORE UNIVERSITY

Working as Professor of Mathematics, 

fields of interest: Differential geometry, Riemannian manifolds, Finsler manifolds

 

K Venu, Vijaya College, Bangalore

Assistant Professor

Dpartment of Mathematics

 

References

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U.C.De, "On φ-recurrent Kenmotsu manifolds", Turk J Math., 33(2009), 17-25.

R.S.Hamilton,"The Ricci flow on surfaces ", Mathematical and general relativity(SantaCruz,CA,1986),American Math.Soc.,Contemp.Math., 71(1988), 237-262.

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

H.G.Nagaraja and C. R. Premalatha, "Ricci solitons in Kenmotsu manifolds" , Journal of Mathematical analysis,3(2)(2012), 18-24.

B.Prasad, "A Pseudo Projective curvature Tensor on Riemannian Manifold", Bull.cal.Math.soc, 94(2002), 163-169.

R.Sharma, "Certain results on K-contact and (k, µ) -contact manifolds", J.Geom., 89(2008), 138-147.

M.M. Tripathi, "Ricci solitons in contact metric manifolds" , arXiv:0801, 4222v1, [math DG],2008.

K.Yano, "Concircular geometry -I.concircular transformations", Proceedings of the Japan Academy,

K.Yano, "Concircular geometry -I.concircular transformations", Proceedings of the Japan Academy,

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Published

2016-05-15
CITATION

How to Cite

Nagaraja, H. G., & Venu, K. (2016). Ricci Solution in Kenmotsu Manifolds. Journal of Informatics and Mathematical Sciences, 8(1), 29–36. https://doi.org/10.26713/jims.v8i1.313

Issue

Vol. 8 No. 1 (2016)

Section

Research Articles

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