Normal paracontact metric space form on $W_0$-curvature tensor

Tuğba Mert; Mehmet Atçeken; Pakize Uygun

doi:10.54559/jauist.1312242

Research Article

Normal paracontact metric space form on $W_0$-curvature tensor

Year 2023, Volume: 4 Issue: 1, 33 - 41, 02.07.2023

Tuğba Mert Mehmet Atçeken Pakize Uygun

https://doi.org/10.54559/jauist.1312242

Abstract

In this article, normal paracontact metric space forms are investigated on $W_0$-curvature tensor. Characterizations of normal paracontact space forms are obtained on $W_0$-curvature tensor. Special curvature conditions established with the help of Riemann, Ricci, and concircular curvature tensors are discussed on $W_0$-curvature tensor. Through these curvature conditions, some important characterizations of normal paracontact metric space forms are obtained. Finally, the need for further research is discussed.

Keywords

W_0-curvature tensors, semisymmetric manifold, normal paracontact space form

References

S. Kenayuki, F. L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Mathematical Journal 99 (1985) 173–187.
S. Zamkovoy, Canonical connections on paracontact manifolds, Annals of Global Analysis and Geometry 36 (2009) 37–60.
J. Welyczko, On Legendre curves in 3-dimensional normal almost paracontact metric manifolds. Results in Mathematics, 54 (2009) 377–387.
J. Welyczko, Slant curves in 3-dimensional normal contact metric manifolds, Mediterranean Journal of Mathematics 11 (2014) 965–978.
H. B. Pandey, A. Kumar, Anti invariant submanifolds of almost paracontact metric manifolds, Indian Journal of Pure and Applied Mathematics 16 (6) (1985) 586–590.
Ü. Yıldırım, M. Atçeken, S. Dirik, S. A normal paracontact metric manifold satisfying some conditions on the M-projectivecurvature tensor. Konuralp Journal of Mathematics 7 (1) (2019) 217–221.
Ü. Yıldırım, M. Atçeken, S. Dirik, Pseudo projective curvature tensor satisfying some properties on a normal paracontactmetric manifold, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1) (2019) 997–1006.
M. Tripathi, P. Gupta, τ-Curvature Tensor on A Semi-Riemannian Manifold. Journal of Advanced Mathematical Studies 4 (1) (2011) 117–129.

Year 2023, Volume: 4 Issue: 1, 33 - 41, 02.07.2023

Tuğba Mert Mehmet Atçeken Pakize Uygun

https://doi.org/10.54559/jauist.1312242

Abstract

References

S. Kenayuki, F. L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Mathematical Journal 99 (1985) 173–187.
S. Zamkovoy, Canonical connections on paracontact manifolds, Annals of Global Analysis and Geometry 36 (2009) 37–60.
J. Welyczko, On Legendre curves in 3-dimensional normal almost paracontact metric manifolds. Results in Mathematics, 54 (2009) 377–387.
J. Welyczko, Slant curves in 3-dimensional normal contact metric manifolds, Mediterranean Journal of Mathematics 11 (2014) 965–978.
H. B. Pandey, A. Kumar, Anti invariant submanifolds of almost paracontact metric manifolds, Indian Journal of Pure and Applied Mathematics 16 (6) (1985) 586–590.
Ü. Yıldırım, M. Atçeken, S. Dirik, S. A normal paracontact metric manifold satisfying some conditions on the M-projectivecurvature tensor. Konuralp Journal of Mathematics 7 (1) (2019) 217–221.
Ü. Yıldırım, M. Atçeken, S. Dirik, Pseudo projective curvature tensor satisfying some properties on a normal paracontactmetric manifold, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1) (2019) 997–1006.
M. Tripathi, P. Gupta, τ-Curvature Tensor on A Semi-Riemannian Manifold. Journal of Advanced Mathematical Studies 4 (1) (2011) 117–129.

There are 8 citations in total.

Details

Primary Language	English
Subjects	Algebraic and Differential Geometry
Journal Section	Research & Review Articles
Authors	Tuğba Mert 0000-0001-8258-8298 Mehmet Atçeken 0000-0002-1242-4359 Pakize Uygun 0000-0001-8226-4269
Publication Date	July 2, 2023
Published in Issue	Year 2023 Volume: 4 Issue: 1

Cite

APA	Mert, T., Atçeken, M., & Uygun, P. (2023). Normal paracontact metric space form on $W_0$-curvature tensor. Journal of Amasya University the Institute of Sciences and Technology, 4(1), 33-41. https://doi.org/10.54559/jauist.1312242
AMA	Mert T, Atçeken M, Uygun P. Normal paracontact metric space form on $W_0$-curvature tensor. J. Amasya Univ. Inst. Sci. Technol. July 2023;4(1):33-41. doi:10.54559/jauist.1312242
Chicago	Mert, Tuğba, Mehmet Atçeken, and Pakize Uygun. “Normal Paracontact Metric Space Form on $W_0$-Curvature Tensor”. Journal of Amasya University the Institute of Sciences and Technology 4, no. 1 (July 2023): 33-41. https://doi.org/10.54559/jauist.1312242.
EndNote	Mert T, Atçeken M, Uygun P (July 1, 2023) Normal paracontact metric space form on $W_0$-curvature tensor. Journal of Amasya University the Institute of Sciences and Technology 4 1 33–41.
IEEE	T. Mert, M. Atçeken, and P. Uygun, “Normal paracontact metric space form on $W_0$-curvature tensor”, J. Amasya Univ. Inst. Sci. Technol., vol. 4, no. 1, pp. 33–41, 2023, doi: 10.54559/jauist.1312242.
ISNAD	Mert, Tuğba et al. “Normal Paracontact Metric Space Form on $W_0$-Curvature Tensor”. Journal of Amasya University the Institute of Sciences and Technology 4/1 (July 2023), 33-41. https://doi.org/10.54559/jauist.1312242.
JAMA	Mert T, Atçeken M, Uygun P. Normal paracontact metric space form on $W_0$-curvature tensor. J. Amasya Univ. Inst. Sci. Technol. 2023;4:33–41.
MLA	Mert, Tuğba et al. “Normal Paracontact Metric Space Form on $W_0$-Curvature Tensor”. Journal of Amasya University the Institute of Sciences and Technology, vol. 4, no. 1, 2023, pp. 33-41, doi:10.54559/jauist.1312242.
Vancouver	Mert T, Atçeken M, Uygun P. Normal paracontact metric space form on $W_0$-curvature tensor. J. Amasya Univ. Inst. Sci. Technol. 2023;4(1):33-41.