On ɸ-Symmetric Kenmotsu Manifolds With Respect To Quarter-Symmetric Metric Connection
___
- [1] Chen, B.-Y. and Garay, O. J., An extremal class of conformally flat submanifolds in Euclidean
spaces, Acta Math. Hungar., 111(2006), no. 4, 263-303.
- [2] Duggal, Krishan L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and
Applications, Kluwer Academic Publishers, Dordrecht, 1996.
- [3] Bagewadi, C.S. Prakasha, D.G. and Venkatesha., A Study of Ricci quarter-symmetric metric
connection on a Riemannian manifold, Indian J. Math., 50 (2008), no. 3, 607 - 615.
- [4] Bagewadi,C.S. Prakasha, D.G. and Venkatesha., Projective curvature tensor on a Kenmotsu
manifold with respect to semi-symmetric metric connection, Stud. Cercet. Stiint. Ser. Mat. Univ.
Bacau., 17 (2007), 21-32.
- [5] Biswas, S.C. and De, U.C., Quarter-symmetric metric connection in an SP-Sasakian manifold,
Commun. Fac. Sci. Univ. Ank. Series, 46 (1997), 49 - 56.
- [6] Blair, D.E., Contact manifolds in Riemannian geometry. Lecture Notes in Mathematics, Vol.
509. Springer-Verlag, Berlin, New-York, 1976.
- [7] Boeckx, E. Buecken, P. and Vanhecke,L., ɸ−symmetric contact metric spaces, Glasgow Math.
J., 41 (1999), 409 - 416.
- [8] De, U.C. and Pathak, G., On a semi-symmetric metric connection in a Kenmotsu manifold, Bull.
Calcutta Math. Soc., 94 (2002), no. 4, 319-324.
[9] De, U.C., On ɸ−symmetric Kenmotsu manifolds, Int. Electron. J. Geom., 1(2008), no. 1, 33
- 38.
[10] De, U.C. and Sengupta, J., Quarter-symmetric metric connection on a Sasakian manifold, Commun.
Fac. Sci. Univ. Ank. Series,A1, 49 (2000), 7 - 13.
- [11] Friedmann, A. and Schouten, J.A., Uber die Geometrie der halbsymmetrischen Ubertragung, Math.
Zeitschr., 21 (1924), 211 - 223.
- [12] Golab, S., On semi-symmetric and quarter-symmetric linear connections, Tensor. N.S., 29
(1975), 293 - 301.
- [13] Hayden, H.A., Subspaces of a space with torsion, Proc. London Math. Soc., 34 (1932), 27 -
50.
- [14] Kenmotsu, K., A class os almost contact Riemannian manifolds, Tohoku Math. J., 24 (1972),
93 - 103.
- [15] Mishra, R.S. and Pandey, S.N., On quarter-symmetric metric F-connections, Tensor, N.S., 34
(1980), 1 - 7.
- [16] Mondal, Abul Kalam. and De, U.C., Some properties of quarter-symmetric metric connection on a
Sasakian manifold, Bull. Math. Anal. & Appl., 1 (2009), no. 3, 99-108.
- [17] Rastogi, S.C., On quarter-symmetric metric connection, C.R. Acad. Sci. Sci. Bulgar, 31 (1978),
811 - 814.
- [18] Rastogi, S.C., On quarter-symmetric metric connection, Tensor, 44 (1987), no. 2, 133 - 141.
- [19] Schouten, J.A., Ricci calculus, Springer, 1954.
- [20] Sular, S. Ozgur, C. and De, U.C., Quarter-symmetric metric connection in a Kenmotsu manifold,
SUT Journal of Mathematics, 44(2008), no. 2, 297 - 306.
- [21] Takahashi, T., Sasakian ɸ−symmetric spaces, Tohoku Math. J. 29 (1977), 91 113.
- [22] Tripathi, M.M., On a semi-symmetric metric connection in a Kenmotsu manifold, J. Pure Math.,
16 (1999), 67 - 71.
- [23] Tripathi, M.M., On a semi-symmetric non-metric connection in a Kenmotsu manifold, Bull.
Calcutta Math. Soc., 93(2001), no.4, 323-330.
- [24] Tripathi, M.M., A new connection in a Riemannian manifold, Int. Electron. J. Geom., 1(2008),
no. 1, 15-24.
- [25] Yano, K., Concircular geometry I, Concircular transformations, Proc. Imp. Acad. Tokyo., 16
(1940), 195 - 200.
- [26] Yano, K., On semi-symmetric metric connections, Rev. Roumaine Math. Pures Appl., 15 (1970),
1579 - 1586.
- [27] Yano, K. and Imai, T., quarter-symmetric metric connections and their curvature tensors,
Tensor, N.S., 38 (1982), 13 - 18.