Certain results on the conharmonic curvature tensor of \( (\kappa,\mu) \)-contact metric manifolds

Authors

  • G. Divyashree Department of Mathematics, Govt., Science College, Chitradurga-577501, Karnataka, India.
  • Venkatesha Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.

DOI:

https://doi.org/10.4067/S0719-06462020000100071

Keywords:

\( (\kappa,\mu) \)-contact metric manifold, conharmonically flat, conharmonically locally \(\phi\)-symmetric, \(\phi\)-conharmonically semisymmetric, \(h\)-conharmonically semisymmetric

Abstract

The paper presents a study of \( (\kappa,\mu) \)-contact metric manifolds satisfying certain conditions on the conharmonic curvature tensor.

Downloads

Download data is not yet available.

References

Blair D. E, Contact manifolds in Riemannian geometry, Lecture Notes in Math. 509, Springer-Verlag, 1976.

D. E. Blair, Two remarks on contact metric structures, Tohoku Math. J., 29, pp. 319-324, 1977.

D.E. Blair, T. Koufogiorgos and B.J. Papantoniou, Contact metric manifolds satisfying a nullity condition, Israel J. Math., 19, pp. 189-214, 1995.

E. Boeckx, A full classification of contact metric (κ, μ)-spaces, Illinois J. of Math. 44, pp. 212-219, 2000.

A. Ghosh, R. Sharma and J.T. Cho, Contact metric manifolds with η-parallel torsion tensor, Ann. Glob. Anal Geom. 34, pp. 287-299, 2008.

Jun J. B. Yildiz A. and De U. C, On φ-recurrent (κ, μ)contact metric manifolds, Bull. Korean Math. Soc. 45, pp. 689-700, 2008.

Nader Asghari and Abolfazl Taleshian, On the Conharmonic curvature tensor of Kenmotsu manifolds, Thai Journal of Mathematics, 12(3), pp. 525-536, 2014.

C. Özgür, On φ-conformally flat Lorentzian para-Sasakian manifolds, Radovi Matematicki, 12(1), pp. 99-106, 2003.

D. Perrone, Homogeneous contact Riemannian three-manifolds, Illinois J. Math. 42, pp. 243-258, 1998.

A. Sarkar, Matilal Sen and Ali Akbar, Generalized Sasakian space forms with conharmonic curvature tensor, Palestine Journal of Mathematics, 4(1), pp. 84-90, 2015.

A. A. Shaikh and K. Kanti Baishya, On (κ, μ)-contact metric manifolds, Differential Geometry Dynamical Systems, 8, pp. 253-261, 2006.

S. A. Siddiqui and Z. Ahsan, Conharmonic curvature tensor and the space-time of general relativity, Differential Geometry-Dynamical Systems, 12, pp. 213-220, 2010.

A. Yildiz and U. C. De, A classification of (κ, μ)-contact metric manifolds, Commun. Korean Math. Soc., 2, pp. 327-339, 2012.

Downloads

Published

2020-04-18

How to Cite

[1]
G. Divyashree and Venkatesha, “Certain results on the conharmonic curvature tensor of \( (\kappa,\mu) \)-contact metric manifolds”, CUBO, vol. 22, no. 1, pp. 71–84, Apr. 2020.

Issue

Section

Articles

Similar Articles

1 2 3 4 5 6 7 8 9 10 11 > >> 

You may also start an advanced similarity search for this article.