Research Article

On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold

Volume: 12 Number: 1 June 29, 2020
EN

On the Pseudo-Quasi Conformal Curvature Tensor of 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(\xi,X) \widetilde{C}=0 $, $ \widetilde{C}(\xi,X)S=0 $, $ \widetilde{C}(\xi,X)P=0 $, $ \widetilde{C}(\xi,X)\widetilde{Z}=0 $ and pseudo quasi conformal flat, where $ R $, $ P $, $ S $, $ \widetilde{Z} $ and $ \widetilde{C} $ are the Riemannian curvature, projective curvature, Ricci, concircular curvature and pseudo-quasi conformal curvature tensors, respectively.                                                                                                                                                              

Keywords

References

  1. At\c{c}eken, M., Y{\i}ld{\i}r{\i}m, \"{U}., {\em Almost $C(\alpha)$-manifolds satisfying certain curvature conditions}, Advanced Studies in Contemporary Mathematics, \textbf{26(3)}(2016), 567--578.
  2. At\c{c}eken, M., Y{\i}ld{\i}r{\i}m, \"{U}., {\em On almost $C(\alpha)$-manifolds satisfying certain conditions on quasi-conformal curvature tensor}, Proceedings of the Jangjeon Mathematical Society, \textbf{19(1)}(2016), 115--124.
  3. Chaturverdi, B.B., Gupta, B.K., {\em Quasi-conformal curvature tensor of generalized Sasakian space forms}, Fact Universitatis $NI\check{S}$, Ser. Math. Inform., \textbf{35(1)}(2020), 89--99.
  4. Kenayuki, S., Williams, F.L., {\em Almost paracontact and parahodge structures on manifolds}, Nagoya Math. J., \textbf{99}(1985), 173--187.
  5. Murthy, B., Vanketesha., {\em On 3-dimensional pseudo quasi conformal curvature tensor on $(LCS)_{n}$-manifolds}, Open Acces Library Journal, \textbf{6}(2019), e5474.
  6. Pandey, H.B., Kumar, A., {\em Anti invariant submanifolds of almost paracontact manifolds}, Indian J. Pure Appl. Math., \textbf{16(6)}(1985), 586--590.
  7. Prakasha, D.G., Shivamurthy, T.R, Kakasab, M., {\em On the pseudo quasi conformal curvature tensor of P-Sasakian manifold}, Electronic Journal of Mathematical Analysis and Applications, \textbf{5(2)}(2017), 147--155.
  8. Shaikh, A.A., Hui, S. K., {\em On quasi-conformally flat almost pseudo Ricci symmetric manifolds}, Tamsui Oxford Journal of Mathematical Sciences. \textbf{26(2)}(2010).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 29, 2020

Submission Date

March 18, 2020

Acceptance Date

June 13, 2020

Published in Issue

Year 2020 Volume: 12 Number: 1

APA
Yıldırım, Ü., Atceken, M., & Dirik, S. (2020). On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold. Turkish Journal of Mathematics and Computer Science, 12(1), 49-55. https://izlik.org/JA67MD97UC
AMA
1.Yıldırım Ü, Atceken M, Dirik S. On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold. TJMCS. 2020;12(1):49-55. https://izlik.org/JA67MD97UC
Chicago
Yıldırım, Ümit, Mehmet Atceken, and Süleyman Dirik. 2020. “On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold”. Turkish Journal of Mathematics and Computer Science 12 (1): 49-55. https://izlik.org/JA67MD97UC.
EndNote
Yıldırım Ü, Atceken M, Dirik S (June 1, 2020) On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold. Turkish Journal of Mathematics and Computer Science 12 1 49–55.
IEEE
[1]Ü. Yıldırım, M. Atceken, and S. Dirik, “On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold”, TJMCS, vol. 12, no. 1, pp. 49–55, June 2020, [Online]. Available: https://izlik.org/JA67MD97UC
ISNAD
Yıldırım, Ümit - Atceken, Mehmet - Dirik, Süleyman. “On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold”. Turkish Journal of Mathematics and Computer Science 12/1 (June 1, 2020): 49-55. https://izlik.org/JA67MD97UC.
JAMA
1.Yıldırım Ü, Atceken M, Dirik S. On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold. TJMCS. 2020;12:49–55.
MLA
Yıldırım, Ümit, et al. “On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold”. Turkish Journal of Mathematics and Computer Science, vol. 12, no. 1, June 2020, pp. 49-55, https://izlik.org/JA67MD97UC.
Vancouver
1.Ümit Yıldırım, Mehmet Atceken, Süleyman Dirik. On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold. TJMCS [Internet]. 2020 Jun. 1;12(1):49-55. Available from: https://izlik.org/JA67MD97UC