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Year 2011, Volume: 4 Issue: 1, 115 - 124, 30.04.2011

Abstract

References

  • [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.

Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold

Year 2011, Volume: 4 Issue: 1, 115 - 124, 30.04.2011

Abstract



References

  • [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.
There are 20 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Mohit Kumar Dwivedi This is me

Publication Date April 30, 2011
Published in Issue Year 2011 Volume: 4 Issue: 1

Cite

APA Dwivedi, M. K. (2011). Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold. International Electronic Journal of Geometry, 4(1), 115-124.
AMA Dwivedi MK. Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold. Int. Electron. J. Geom. April 2011;4(1):115-124.
Chicago Dwivedi, Mohit Kumar. “Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold”. International Electronic Journal of Geometry 4, no. 1 (April 2011): 115-24.
EndNote Dwivedi MK (April 1, 2011) Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold. International Electronic Journal of Geometry 4 1 115–124.
IEEE M. K. Dwivedi, “Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold”, Int. Electron. J. Geom., vol. 4, no. 1, pp. 115–124, 2011.
ISNAD Dwivedi, Mohit Kumar. “Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold”. International Electronic Journal of Geometry 4/1 (April 2011), 115-124.
JAMA Dwivedi MK. Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold. Int. Electron. J. Geom. 2011;4:115–124.
MLA Dwivedi, Mohit Kumar. “Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold”. International Electronic Journal of Geometry, vol. 4, no. 1, 2011, pp. 115-24.
Vancouver Dwivedi MK. Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold. Int. Electron. J. Geom. 2011;4(1):115-24.