EN
On Trans-Sasakian Manifolds with the Schouten-van Kampen Connection
Abstract
The object of the present paper is to characterize $3$-dimensional trans-Sasakian manifolds with respect to the Schouten-van Kampen connection.
Keywords
References
- [1] A. Bejancu and H. R. Faran, Foliations and Geometric Structures, Math. and Its Appl. 580, Springer, Dordrecht, 2006.
- [2] D. E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics. 509, Springer-Verlag, Berlin-New York, 1976.
- [3] D. E. Blair and J. A. Oubina, Conformal and related changes of metric on the product of two almost contact metric manifolds, Publications Matematiques, 34 (1990), 199-207.
- [4] D. Chinea and C. Gonzales, A classification of almost contact metric manifolds, Ann. Mat. Pura Appl., 156 (1990), 15-36.
- [5] U. C. De and M. M. Tripathi, Ricci tensor in 3-dimensional trans-Sasakian manifolds, Kyungpook Math. J., 43 (2003), 247-255.
- [6] A. Gray and L. M. Hervella, The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl., 123 (1980), 35-58.
- [7] S. Ianus¸, Some almost product structures on manifolds with linear connection, Kodai Math. Sem. Rep., 23 (1971), 305-310.
- [8] D. Janssens and L. Vanhecke, Almost contact structures and curvature tensors, Kodai Math. J., 4 (1981), 1-27.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
April 15, 2020
Submission Date
December 3, 2019
Acceptance Date
March 28, 2020
Published in Issue
Year 2020 Volume: 8 Number: 1
APA
Zeren, S., & Yıldız, A. (2020). On Trans-Sasakian Manifolds with the Schouten-van Kampen Connection. Konuralp Journal of Mathematics, 8(1), 152-157. https://izlik.org/JA56YA46RL
AMA
1.Zeren S, Yıldız A. On Trans-Sasakian Manifolds with the Schouten-van Kampen Connection. Konuralp J. Math. 2020;8(1):152-157. https://izlik.org/JA56YA46RL
Chicago
Zeren, Semra, and Ahmet Yıldız. 2020. “On Trans-Sasakian Manifolds With the Schouten-Van Kampen Connection”. Konuralp Journal of Mathematics 8 (1): 152-57. https://izlik.org/JA56YA46RL.
EndNote
Zeren S, Yıldız A (April 1, 2020) On Trans-Sasakian Manifolds with the Schouten-van Kampen Connection. Konuralp Journal of Mathematics 8 1 152–157.
IEEE
[1]S. Zeren and A. Yıldız, “On Trans-Sasakian Manifolds with the Schouten-van Kampen Connection”, Konuralp J. Math., vol. 8, no. 1, pp. 152–157, Apr. 2020, [Online]. Available: https://izlik.org/JA56YA46RL
ISNAD
Zeren, Semra - Yıldız, Ahmet. “On Trans-Sasakian Manifolds With the Schouten-Van Kampen Connection”. Konuralp Journal of Mathematics 8/1 (April 1, 2020): 152-157. https://izlik.org/JA56YA46RL.
JAMA
1.Zeren S, Yıldız A. On Trans-Sasakian Manifolds with the Schouten-van Kampen Connection. Konuralp J. Math. 2020;8:152–157.
MLA
Zeren, Semra, and Ahmet Yıldız. “On Trans-Sasakian Manifolds With the Schouten-Van Kampen Connection”. Konuralp Journal of Mathematics, vol. 8, no. 1, Apr. 2020, pp. 152-7, https://izlik.org/JA56YA46RL.
Vancouver
1.Semra Zeren, Ahmet Yıldız. On Trans-Sasakian Manifolds with the Schouten-van Kampen Connection. Konuralp J. Math. [Internet]. 2020 Apr. 1;8(1):152-7. Available from: https://izlik.org/JA56YA46RL
