Research Article

Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold

Volume: 68 Number: 1 February 1, 2019
EN

Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold

Abstract

In the present paper we have studied the curvature tensor of a normal paracontact metric manifold satisfying the conditions R(ξ,X)P=0, P(ξ,X)R=0, P(ξ,X)P=0, P(ξ,X)S=0, P(ξ,X)Z=0 and pseudo projective flatness, where R, P, S and Z denote the Riemannian curvature, pseudo projective curvature, Ricci and concircular curvature tensors, respectively.

Keywords

References

  1. Acet, B.E., Kılıç E. and Yüksel Perktaş, S., Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection, International Journal of Mathematics and Mathematical Sciences, Volume 2012, (2012) Article ID 395462, 24 pages.
  2. Acet, B.E. and Yüksel Perktaş, S., On para-Sasakian manifolds with a canonical paracontact connection, New Trends in Math. Sci. 4, No. 3, 162-173.
  3. Prasad, B., A pseudo projective curvature tensor on a Riemannian manifold. Bull. Calcutta Math. Soc., 94, (2002), 163-166.
  4. Narain, D., Prakash, A. and Prasad, B., A pseudo projective curvature tensor on a Lorentzian para-Sasakian manifold. Analele Stııntıfıce Ale Unıversıtatıı "AlI.Cuza" Dın Iası (S.N) Mathemmatica, Tomul LV, (2009). f.2.
  5. Welczko, J., On Legendre curves in 3-dimensional normal almost paracontact metric manifolds. Result. Math. 54, (2009), 377-387.
  6. Welczko, J., Slant curves in 3-dimensional normal paracontact metric manifolds. Mediterr. J. Math. 11, (2014), 965-978.
  7. Atçeken, M. and Yıldırım, Ü., Almost C(α)-Manifolds Satisfying Certain Curvature Conditions. Advanced Studies in Contemporary Mathematics, 26 (3), (2016), 567-578.
  8. Atçeken, M. and Yıldırım, Ü., On Almost C(α)-Manifolds Satisfying Certain Conditions on Quasi-Conformal Curvature Tensor. Proceedings of the Jangjeon Mathematical Society, 19(1), (2016), 115-124.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

August 17, 2017

Acceptance Date

June 6, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Yıldırım, Ü., Atçeken, M., & Dirik, S. (2019). Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 997-1006. https://doi.org/10.31801/cfsuasmas.501436
AMA
1.Yıldırım Ü, Atçeken M, Dirik S. Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):997-1006. doi:10.31801/cfsuasmas.501436
Chicago
Yıldırım, Ümit, Mehmet Atçeken, and Süleyman Dirik. 2019. “Pseudo Projective Curvature Tensor Satisfying Some Properties on a Normal Paracontact Metric Manifold”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 997-1006. https://doi.org/10.31801/cfsuasmas.501436.
EndNote
Yıldırım Ü, Atçeken M, Dirik S (February 1, 2019) Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 997–1006.
IEEE
[1]Ü. Yıldırım, M. Atçeken, and S. Dirik, “Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 997–1006, Feb. 2019, doi: 10.31801/cfsuasmas.501436.
ISNAD
Yıldırım, Ümit - Atçeken, Mehmet - Dirik, Süleyman. “Pseudo Projective Curvature Tensor Satisfying Some Properties on a Normal Paracontact Metric Manifold”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 997-1006. https://doi.org/10.31801/cfsuasmas.501436.
JAMA
1.Yıldırım Ü, Atçeken M, Dirik S. Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:997–1006.
MLA
Yıldırım, Ümit, et al. “Pseudo Projective Curvature Tensor Satisfying Some Properties on a Normal Paracontact Metric Manifold”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 997-1006, doi:10.31801/cfsuasmas.501436.
Vancouver
1.Ümit Yıldırım, Mehmet Atçeken, Süleyman Dirik. Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):997-1006. doi:10.31801/cfsuasmas.501436

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.