Research Article

On Trans-Sasakian Manifolds with the Schouten-van Kampen Connection

Volume: 8 Number: 1 April 15, 2020
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. [1] A. Bejancu and H. R. Faran, Foliations and Geometric Structures, Math. and Its Appl. 580, Springer, Dordrecht, 2006.
  2. [2] D. E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics. 509, Springer-Verlag, Berlin-New York, 1976.
  3. [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. [4] D. Chinea and C. Gonzales, A classification of almost contact metric manifolds, Ann. Mat. Pura Appl., 156 (1990), 15-36.
  5. [5] U. C. De and M. M. Tripathi, Ricci tensor in 3-dimensional trans-Sasakian manifolds, Kyungpook Math. J., 43 (2003), 247-255.
  6. [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. [7] S. Ianus¸, Some almost product structures on manifolds with linear connection, Kodai Math. Sem. Rep., 23 (1971), 305-310.
  8. [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
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