EN
A Study on Trans-para-Sasakian Manifolds
Abstract
In the current paper, we make the first contribution to investigate conditions under which three-dimensional trans-para-Sasakian manifold has η-parallel Ricci tensor and cyclic parallel Ricci tensor. Finally, a three dimensional trans-para-Sasakian manifold example which satisfies our results is constructed
Keywords
References
- [1] Oubina, J. A. (1985). New Classes of Almost Contact Metric Structure. Publicationes Mathematicae, 32:187-193.
- [2] Blair, D. E. and Oubina, J. A. (1990). Conformal and Related Changes of Metric on the Product of Two Almost Contact Metric Manifolds. Publicacions Matemàtiques, 34(1): 199-207.
- [3] Chinea, D. and Gonzales, C. (1990). A Classification of Almost Contact Metric Manifolds. Annali di Matematica Pura ed Applicata, 156:15-36.
- [4] Marrero, J. C. (1992). The Local Structure of Trans-Sasakian Manifolds. Annali di Matematica Pura ed Applicata, 162:77-86.
- [5] Zamkovoy, S. (2019). On the Geometry of Trans-para-Sasakian Manifolds. Filomat, 33(18):6015-6024.
- [6] Özkan, M. Küpeli Erken, I. and De, U. C. (2024). On Trans-para-Sasakian Manifolds. Filomat. (accepted).
- [7] Zamkovoy, S. (2009). Canonical Connections on Paracontact Manifolds. Annals of Global Analysis and Geometry, 36:37-60.
- [8] Kon, M. (1976). Invariant Submanifolds in Sasakian Manifolds. Mathematische Annalen, 219:277-290.
Details
Primary Language
English
Subjects
Numerical Computation and Mathematical Software
Journal Section
Research Article
Early Pub Date
December 11, 2024
Publication Date
December 31, 2024
Submission Date
August 15, 2024
Acceptance Date
December 3, 2024
Published in Issue
Year 2024 Volume: 8 Number: 2
APA
Küpeli Erken, İ., & Özkan, M. (2024). A Study on Trans-para-Sasakian Manifolds. Journal of Innovative Science and Engineering, 8(2), 226-232. https://doi.org/10.38088/jise.1533942
AMA
1.Küpeli Erken İ, Özkan M. A Study on Trans-para-Sasakian Manifolds. JISE. 2024;8(2):226-232. doi:10.38088/jise.1533942
Chicago
Küpeli Erken, İrem, and Mustafa Özkan. 2024. “A Study on Trans-Para-Sasakian Manifolds”. Journal of Innovative Science and Engineering 8 (2): 226-32. https://doi.org/10.38088/jise.1533942.
EndNote
Küpeli Erken İ, Özkan M (December 1, 2024) A Study on Trans-para-Sasakian Manifolds. Journal of Innovative Science and Engineering 8 2 226–232.
IEEE
[1]İ. Küpeli Erken and M. Özkan, “A Study on Trans-para-Sasakian Manifolds”, JISE, vol. 8, no. 2, pp. 226–232, Dec. 2024, doi: 10.38088/jise.1533942.
ISNAD
Küpeli Erken, İrem - Özkan, Mustafa. “A Study on Trans-Para-Sasakian Manifolds”. Journal of Innovative Science and Engineering 8/2 (December 1, 2024): 226-232. https://doi.org/10.38088/jise.1533942.
JAMA
1.Küpeli Erken İ, Özkan M. A Study on Trans-para-Sasakian Manifolds. JISE. 2024;8:226–232.
MLA
Küpeli Erken, İrem, and Mustafa Özkan. “A Study on Trans-Para-Sasakian Manifolds”. Journal of Innovative Science and Engineering, vol. 8, no. 2, Dec. 2024, pp. 226-32, doi:10.38088/jise.1533942.
Vancouver
1.İrem Küpeli Erken, Mustafa Özkan. A Study on Trans-para-Sasakian Manifolds. JISE. 2024 Dec. 1;8(2):226-32. doi:10.38088/jise.1533942
