Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold

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  • [1] Agashe, N. S. and Chafle, M. R., A semi-symmetric non-metric connection in a Riemannian manifold, Indian J. Pure Appl. Math. 23(1992), 399-409.
  • [2] Andonie, O. C. and Smaranda, D., Certaines connexions semi-sym´etriques, Tensor 31(1977), 8-12.
  • [3] Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Progress in Mathematics, 203. Birkhauser Boston, Inc., Boston, MA, 2002.
  • [4] Friedmann, A. and Schouten, J. A., Über die geometrie der halbsymmetrischen u¨bertragung, Math. Zeitschr. 21(1924), 211-223.
  • [5] Folland, G. B., Weyl manifolds, J. Diff. Geometry 4(1970), 145-153.
  • [6] Golab, S., On semi-symmetric and quarter-symmetric linear connections, Tensor 29(1975), 249-254. MR 52 #4156.
  • [7] Hayden, H. A., Subspaces of a space with torsion, Proc. London Math. Soc. 34(1932), 27-50.
  • [8] Kenmotsu, K., A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24(1972), no. 1, 93-103.
  • [9] Liang, Y., On semi-symmetric recurrent-metric connection, Tensor 55(1994), 107-112.
  • [10] Mishra, R. S., Structures on a differentiable manifold and their applications, Chan- drama Prakashan, Allahabad, India, 1984.
  • [11] Mishra, R. S. and Pandey, S. N., On quarter-symmetric metric F -connections, Tensor 34(1980), 1-7.
  • [12] Rastogi, S. C., On quarter-symmetric metric connection, C. R. Acad. Bulg. Sci. 31(1978), no. 8, 811-814. MR 80f:53015.
  • [13] Rastogi, S. C., On quarter-symmetric metric connections, Tensor 44(1987), 133-141. [14] Schouten, J. A., Ricci calculus, Springer, 1954.
  • [15] Sengupta, J.; De, U. C. and Binh, T. Q., On a type of semi-symmetric non-metric connection on a Riemannian manifold, Indian J. Pure Appl. Math. 31(12)(2000), 1659-1670.
  • [16] Smaranda, D., On projective transformations of symmetric connections with a recurrent projective tensor field, Proc. Nat. Coll. on Geometry and Topology (Bu¸steni, 1981), 323-329, Univ. Bucare¸sti, Bucharest, 1983.
  • [17] Tanno, S., The automorphism groups of almost contact Riemannian manifolds, Tˆohoku Math. J. 21 (1969), no. 1, 21-38.
  • [18] Tripathi, M. M., A new connection in Riemannian manifolds, Internat. Electr. J. Geom. 1(2008), no.1, 15-24.
  • [19] Yano, K., Integral formulas in Riemannian geometry, Marcel Dekker Inc., 1970. MR0284950 (44 #2174).
  • [20] Yano, K., On semi-symmetric metric connections, Rev. Roumaine Math. Pures Appl. 15(1970), 1579-1586. MR0275321 (43 #1078).
  • [21] Yano, K. and Imai, T., Quarter-symmetric metric connections and their curvature tensors, Tensor 38(1982), 13-18.