[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2015.55.3.731

On a Type of Semi-Symmetric Non-Metric Connection on Riemannian Manifolds

BARMAN, AJIT (Department of Mathematics, Kabi Nazrul Mahavidyalaya)

Publication Information

Kyungpook Mathematical Journal / v.55, no.3, 2015 , pp. 731-739 More about this Journal

Abstract

The object of the present paper is to characterize a Riemannian manifold admitting a type of semi-symmetric non-metric connection.

Keywords

Semi-symmetric metric connection; almost pseudo symmetric manifold; quasi-Einstein manifold; special conformally flat; subprojective manifold;

Citations & Related Records

Reference

1	A. Friedmann and J. A. Schouten, Uber die Geometric der halbsymmetrischen Ubertragung, Math., Zeitschr., 21(1924), 211-223. DOI
2	B. Y. Chen and K. Yano, Special conformally flat spaces and canal hypersurfaces, Tohoku Math. J., 25(1973), 177-184. DOI
3	E. Cartan, Sur une classe remarquable d'espaces de Riemannian, Bull. Soc. Math. France, 54(1926), 214-264.
4	H. A. Hayden, Subspaces of space with torsion, Proc. London Math. Soc., 34(1932), 27-50.
5	J. A. Schouten, Ricci-Calculus, 2nd Edition, Springer-Verlag, Berlin-Gottingen-Heidelberg, 1954.
6	K. Yano, On semi-symmetric connection, Revue Roumaine de Math. Pure et Appliques, 15(1970), 1570-1586.
7	K. Amur and S. S. Pujar, On submanifolds of a Riemannian manifold admitting a metric semi-symmetric connection, Tensor, N. S., 32(1978), 35-38.
8	L. Tamassy and T. Q. Binh, On weakly symmetric and weakly projective symmetric Riemannian manifolds, Colloq. Math. Soc. J. Bolyai, 50(1989), 663-670.
9	M. Prvanovic, On pseudo metric semi-symmetric connections, Pub. De L Institut Math., Nouvelle serie, 18(32)(1975), 157-164.
10	M. C. Chaki, On pseudo symmetric manifolds, Analele stiintifice Ale Universitatii, "AL. I. CUSA" DIN IASI, 33(1987), 53-58.
11	M. C. Chaki and R. K. Maity, On quasi-Einstein manifolds, Publ. Math. Debrecen, 57(2000), 297-306.
12	M. C. Chaki and A. Konar, On a type of semi-symmetric connection on a Riemannian manifold, J. Pure Math., Calcutta University, (1981), 77-80.
13	N. S. Agashe and M. R. Chafle, A semi-symmetric non-metric connection on a Riemannian Manifold, Indian J. Pure Appl. Math., 23(6)(1992), 399-409.
14	O. C. Andonie, On semi-symmetric non-metric connection on a Riemannian manifold, Ann. Fac. Sci. De Kinshasa, Zaire Sect. Math. Phys., 2(1976).
15	R. N. Sen and M. C. Chaki, On curvature restrictions of a certain kind of conformally flat Riemannian space of class one, Proc. Nat. Inst. Sci. India, 33(1967), 100-102.
16	S. C. Biswas, U. C. De and B. Barua, Semi-symmetric non-metric connection in an SP-Sasakian manifold, J. Pure Math. Calcutta University, 13(1996), 13-18.
17	U. C. De, On a type of semi-symmetric connection on a Riemannian manifold, Indian J. Pure Appl. Math., 21(4), April 1990, 334-338.
18	U. C. De and S. C. Biswas, On a type of semi-symmetric non-metric connection on a Riemannian manifold, Ganita, 48(1997), 91-94.
19	U. C. De and A. K. Gazi, On almost pseudo symmetric manifolds, Ann. Univ. Sci. Budapest, Sec.Math., 51(2008), 53-68.
20	U. C. De and D. Kamilya, On a type of semi-symmetric non-metric connection on a Riemannian manifold, Istanbul Univ. Fen. Fak. Mat. Der., 53(1994), 37-41.
21	U. C. De and D. Kamilya, Hypersurfaces of a Riemannian manifold with semi-symmetric non-metric connection, J. Indian Inst. Sci., 75(1995), 707-710.