A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold

Rajesh Kumar; Jagannath Chowdhury

TR EN

A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold

Abstract

In the present note we have considered recurrent metric connection. The aim of the present paper is to obtain the conditions under which the quasiconformal curvature tensor and -projective curvature tensor of semi-symmetric recurrent metric connection and the Riemannian connection to be equal. to be a Riemannian manifold admitting a semi-symmetric

Keywords

Semi-symmetric recurrent metric connection, quasi-conformal curvature tensor, -projective curvature tensor

References

[1] Eisenhart L.P., 1949. Riemannian Geometry. Princeton University Press, Princeton N.J.
[2] Mukhopadhyay S., Barua B., 1990. A note on the projective curvature tensor of a semi-symmetric recurrent metric connection on a Riemannian manifold. Ale Universitat, “AL. I Cuza” Iasi, Tomul XXXVI, Mathematica. 415-417.
[3] Pokhariyal G.P., Mishra R.S., 1971. Curvature tensor and their relativistic significance II. Yokohama math, Journal. 19, 97-103.
[4] Ray A.K., Mukhopadhyay S., 1990. Semi-symmetric recurrent metric connection on a Riemannian manifold. Jour. Pure Math. (7), 35-38.
[5] Smaranda D., Andonie O.C., 1976. On semi-symmetric connections, Ann. Fac. Sci. Univ. Nat. Zaire (Kinshasa) Sect. Math. Phys. 2, 265-270.
[6] Yano K., Sawaki S., 1968. Riemannian manifold admitting a conformal transformation group. J. of Differential Geometry, 2, 161-184.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Rajesh Kumar This is me

Jagannath Chowdhury This is me

Publication Date

December 5, 2013

Submission Date

December 5, 2013

Acceptance Date

-

Published in Issue

Year 2013 Volume: 8 Number: 2

IZ

https://izlik.org/JA99XT53KM

Cite

RIS / Bibtex

APA

Kumar, R., & Chowdhury, J. (2013). A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 8(2), 190-194. https://izlik.org/JA99XT53KM

AMA

1.Kumar R, Chowdhury J. A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2013;8(2):190-194. https://izlik.org/JA99XT53KM

Chicago

Kumar, Rajesh, and Jagannath Chowdhury. 2013. “A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 8 (2): 190-94. https://izlik.org/JA99XT53KM.

EndNote

Kumar R, Chowdhury J (December 1, 2013) A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold. Süleyman Demirel University Faculty of Arts and Science Journal of Science 8 2 190–194.

IEEE

[1]R. Kumar and J. Chowdhury, “A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 8, no. 2, pp. 190–194, Dec. 2013, [Online]. Available: https://izlik.org/JA99XT53KM

ISNAD

Kumar, Rajesh - Chowdhury, Jagannath. “A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 8/2 (December 1, 2013): 190-194. https://izlik.org/JA99XT53KM.

JAMA

1.Kumar R, Chowdhury J. A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2013;8:190–194.

MLA

Kumar, Rajesh, and Jagannath Chowdhury. “A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 8, no. 2, Dec. 2013, pp. 190-4, https://izlik.org/JA99XT53KM.

Vancouver

1.Rajesh Kumar, Jagannath Chowdhury. A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold. Süleyman Demirel University Faculty of Arts and Science Journal of Science [Internet]. 2013 Dec. 1;8(2):190-4. Available from: https://izlik.org/JA99XT53KM