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Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold

Year 2018, Volume: 10, 242 - 248, 29.12.2018

Abstract

The object of the present paper is to study some types of Ricci pseudosymmetric a normal paracontact metric manifolds whose metric is Ricci soliton such as concircilar Ricci pseudosymmetric, projective Ricci pseudosymmetric. Finally, we constructed an example of concircular Ricci pseudosymmetric a normal paracontact metric manifold whose metric is Ricci soliton.

References

  • Atceken, M. Semi-slant submanifolds of an almost paracontact metricmanifold. Canadian mathematical bulletin 53.2 (2010): 206-217.
  • Hamilton, R.S., Three manifolds with projective Ricci curvature. J.Diff. Geom. 17(1982), 225-306.
  • Hui, S.K., Lemence, R.S. and Chakraborty, D., Riccisolitons on Ricci pseudo symmetric $(LCS)_n$-manifolds.arxiv:1707.03618V1[math.DG]
  • Jahanara, B., Haesen, S., Senturk, Z and Verstraeken,L., On the parallel transport of the Ricci curvature. J. Geom. Phys.57(2007), 1771-1777.
  • Sharma, R., Certain results on k-Contact and$(k,\mu)$-Contact Manifolds. J. of Geom, 89(2008), 138-147.
Year 2018, Volume: 10, 242 - 248, 29.12.2018

Abstract

References

  • Atceken, M. Semi-slant submanifolds of an almost paracontact metricmanifold. Canadian mathematical bulletin 53.2 (2010): 206-217.
  • Hamilton, R.S., Three manifolds with projective Ricci curvature. J.Diff. Geom. 17(1982), 225-306.
  • Hui, S.K., Lemence, R.S. and Chakraborty, D., Riccisolitons on Ricci pseudo symmetric $(LCS)_n$-manifolds.arxiv:1707.03618V1[math.DG]
  • Jahanara, B., Haesen, S., Senturk, Z and Verstraeken,L., On the parallel transport of the Ricci curvature. J. Geom. Phys.57(2007), 1771-1777.
  • Sharma, R., Certain results on k-Contact and$(k,\mu)$-Contact Manifolds. J. of Geom, 89(2008), 138-147.
There are 5 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Ümit Yıldırım 0000-0002-7178-4223

Mehmet Atçeken 0000-0001-8665-5945

Süleyman Dirik 0000-0001-9093-1607

Publication Date December 29, 2018
Published in Issue Year 2018 Volume: 10

Cite

APA Yıldırım, Ü., Atçeken, M., & Dirik, S. (2018). Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold. Turkish Journal of Mathematics and Computer Science, 10, 242-248.
AMA Yıldırım Ü, Atçeken M, Dirik S. Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold. TJMCS. December 2018;10:242-248.
Chicago Yıldırım, Ümit, Mehmet Atçeken, and Süleyman Dirik. “Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold”. Turkish Journal of Mathematics and Computer Science 10, December (December 2018): 242-48.
EndNote Yıldırım Ü, Atçeken M, Dirik S (December 1, 2018) Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold. Turkish Journal of Mathematics and Computer Science 10 242–248.
IEEE Ü. Yıldırım, M. Atçeken, and S. Dirik, “Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold”, TJMCS, vol. 10, pp. 242–248, 2018.
ISNAD Yıldırım, Ümit et al. “Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold”. Turkish Journal of Mathematics and Computer Science 10 (December 2018), 242-248.
JAMA Yıldırım Ü, Atçeken M, Dirik S. Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold. TJMCS. 2018;10:242–248.
MLA Yıldırım, Ümit et al. “Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold”. Turkish Journal of Mathematics and Computer Science, vol. 10, 2018, pp. 242-8.
Vancouver Yıldırım Ü, Atçeken M, Dirik S. Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold. TJMCS. 2018;10:242-8.