A Study on Trans-para-Sasakian Manifolds

İrem Küpeli Erken; Mustafa Özkan

doi:10.38088/jise.1533942

Research Article

Year 2024, , 226 - 232, 31.12.2024

İrem Küpeli Erken , Mustafa Özkan

https://doi.org/10.38088/jise.1533942

Abstract

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.
[9] Gray, A. (1978). Einstein-like Manifolds which are not Einstein. Geometrica Dedicata, 7:259-280.

A Study on Trans-para-Sasakian Manifolds

Year 2024, , 226 - 232, 31.12.2024

İrem Küpeli Erken , Mustafa Özkan

https://doi.org/10.38088/jise.1533942

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

Trans-para-Sasakian manifold, η-parallel Ricci tensor, Cyclic Ricci tensor.

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.
[9] Gray, A. (1978). Einstein-like Manifolds which are not Einstein. Geometrica Dedicata, 7:259-280.

There are 9 citations in total.

Details

Primary Language	English
Subjects	Numerical Computation and Mathematical Software
Journal Section	Research Articles
Authors	İrem Küpeli Erken 0000-0003-4471-3291 Mustafa Özkan 0000-0002-4483-2912
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

Cite

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	Küpeli Erken İ, Özkan M. A Study on Trans-para-Sasakian Manifolds. JISE. December 2024;8(2):226-232. doi:10.38088/jise.1533942
Chicago	Küpeli Erken, İrem, and Mustafa Özkan. “A Study on Trans-Para-Sasakian Manifolds”. Journal of Innovative Science and Engineering 8, no. 2 (December 2024): 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	İ. Küpeli Erken and M. Özkan, “A Study on Trans-para-Sasakian Manifolds”, JISE, vol. 8, no. 2, pp. 226–232, 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 2024), 226-232. https://doi.org/10.38088/jise.1533942.
JAMA	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, 2024, pp. 226-32, doi:10.38088/jise.1533942.
Vancouver	Küpeli Erken İ, Özkan M. A Study on Trans-para-Sasakian Manifolds. JISE. 2024;8(2):226-32.