A semi-symmetric metric connection on an integrated contact metric structure manifold

Authors

  • Shalini Singh JSS ACADEMY OF TECHNICAL EDUCATION, NOIDA Author

DOI:

https://doi.org/10.7439/ijasr.v2i12.3814

Abstract

In 1924, A. Friedmann and J. A. Schoten [1] introduced the idea of a semi-symmetric linear connection in a differentiable manifold. Hayden [2] has introduced the idea of metric connection with torsion in a Riemannian manifold. The properties of semi-symmetric metric connection in a Riemannian manifold have been studied by Yano [3] and others [4], [5]. The purpose of the present paper is to study some properties of semi-symmetric metric connection on an integrated contact metric structure manifold [6], several useful algebraic and geometrical properties have been studied.

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Author Biography

  • Shalini Singh, JSS ACADEMY OF TECHNICAL EDUCATION, NOIDA
    Assistant Professor-II, Department of Applied Mathematics

References

Friedmann and J.A. Schouten, Math Z. 21(1924), 211-225.

Hayden H. A., Proc. London Math.Soc. 34 (1932), 27-50.

K. Yano, On semi-symmetric metric connection, rev. Roum. Math. Pures et. Appl. Tome XV (1979), 1579-1586.

S. K. Choubey, on semi-symmetric metric connection, Prog. of Math. 2007; 41-42: 11-20.

De U.C. and J. Sengupta, on a type of semi-symmetric metric connection on an almost contact metric manifold, Filomat 2000; 14: 33-42.

Shalini Singh, Certain affine connections on an integrated contact metric structure manifold, Adv. Theor. Appl. Math., 2009; 4(1-2): 11-19.

Singh S. D. and Singh D., Tensor of the type (0,4) in an almost norden contact metric manifold, Acta cincia Indica, 1997; 18 M(1): 11-16.

Matsumoto K., On Lorentzian para contact manifolds, Bull. Yamogata Univ Nat. Sci., 1998; 12: 151-156.

Adati T. and Matsumoto K., On almost para contact Riemannian manifold, T.R.U. Maths., 1977; 13(2),: 22-39.

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Published

30-12-2016

Issue

Section

Research Articles

How to Cite

1.
Singh S. A semi-symmetric metric connection on an integrated contact metric structure manifold. Int J of Adv in Sci Res [Internet]. 2016 Dec. 30 [cited 2025 Mar. 14];2(12):194-7. Available from: https://ssjournals.co.in/index.php/ijasr/article/view/3814