Study of Some Properties on Almost Para Contact Metric Manifolds with Certain Connection

Authors

  • Dr. Jai Pratap Singh B.S.N.V.P.G. College, Lucknow, India
  • Kripa Sindhu Prasad Department of Mathematics, Thakur Ram Multiple Campus, Birgunj, Tribhuvan Univeristy, Nepal
  • Aparna Verma Deen Dayal Upadhyay Gorakhpur University, Gorakhpur, India

DOI:

https://doi.org/10.54060/JASE/001.01.006

Keywords:

Semi-symmetric nonmetric connection, almost para contact metric manifold, Nijenhuis tensor

Abstract

Many differential geometers studied different types of manifolds with a semi-symmetric metric connection. In the present paper, we study semi-symmetric nonmetric connections on an almost para-contact manifold in relation to semi-symmetric nonmetric connections. In another section of the work, we have studied the curvature tensor and Nijenhuis tensor.

Downloads

Download data is not yet available.

References

N. S. Agashe, M.R. Chaffle, “A semi-symmetric non-metric connection in a Riemannian manifold”, “Indian J.Pure and Applied Math.”, vol. 23(6), pp. 399-409, 1992.

T. Imai, “Notes on semi-symmetric metric connection”, “Tensor N.S.”, vol.24, pp. 293-296, 1972.

S.K. Srivastava, A.K. Srivastava, “On a semi-symmetric non metric connection in Lorentzian para sasakian manifold.”, “Journal of The Tensor Society”, Vol.-04, pp 103-112, 2010.

A. Sharfuddin, S.I. Hussain, “Semi-symmetric metric connections on almost contact manifold.”, “Tesnor N.S.”, vol. 30, pp. 133-139, 1976.

S. K. Srivastava, “Semi Symmtrician-metric connection on Manifold with generalized structure.”, “Journal of Ravishankar University”, Vol-15-16 pp. 49 to 58, 2002.

S.K. Srivastava, A. K. Srivastava, “Generalized quasi-Sasakian Manifold admitting Semi-symmetric Connection.”, “Journal of The Tensor Society”, Vol-2, pp. 83-89, 2008.

R. Nivas, J.P.Singh, “On submanifolds a Riemannian manifold with semi-symmetric non metric connection.”, “T.S.I.,India”, vol. 10,pp. 30-38, 1991.

A Burman, “On Lp Sasakian Manifolds admitting and Semi-symmetric non metric connection.”, “Kyungpook Mathematical journal”, Vol-58(1), pp. 105-116, 2018.

K.D. Singh, R. Singh, “On almost para contact metric manifolds with semi-symmetric metric connection.”, “Demostratic Math.”, vol VII No 2, pp. 331-341, 1979.

A. Burman, U.C. De, “Semi-symmetric non metric connection on Kenmotsu manifolds.”, “Romannian Journal of Mathematics and Computer Science”, Vol-5(1), pp. 13-24, 2015.

Downloads

Published

2021-10-21

How to Cite

[1]
J. P. Singh, K. Sindhu Prasad, and A. Verma, “Study of Some Properties on Almost Para Contact Metric Manifolds with Certain Connection”, J. Appl. Sci. Educ., vol. 1, no. 1, pp. 1–5, Oct. 2021.

CITATION COUNT

Issue

Section

Research Article