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Year 2010, Volume: 3 Issue: 2, 53 - 66, 30.10.2010

Mehmet Yıldırım

Abstract

References

  • [1] Bejancu, A. and Farran, H. R., On the geometry of semi-Riemannian distributions, Analele Stiintifice ale Universitatii “Al. I. Cuza” din Iasi. Serie Noua. Matematica, 2005, f.1, 133-146.
  • [2] Duggal, K. L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
  • [3] Ianus, S., Some almost product structures on manifolds with linear connections, Kodai Math. Sem. Rep., 23 (1971), 305-310.
  • [4] O’ Neill, B., Semi -Riemannian Geometry with Applications to Relativity; Academic Press, 1983.
  • [5] Schouten, J. A., On non-holonomic connections, Proc. Kon. Akad. Amsterdam, 31 (1928), 291-299.
  • [6] S¸ahin, B., Gu¨ne¸s, R., On some properties of distributions in QR-submanifolds, Hacet. Bull. Nat. Sci. Eng. Ser. B 28 (1999), 15-23.
  • [7] Tani, M., Prolongations of Hypersurfaces to Tangent Bundle. Kodai Math. Sem. Rep. 21 (1969), 85-96.
  • [8] Vranceanu, G., Sur les espaces non holonomes, C. R. Acad. Sci. Paris, 183 (1926), 852-854.
  • [9] Walker, A. G., Connections for parallel distributions in the large, Quarterly J. Math. Oxford, 6 (1955), 301-308.
  • [10] Willmore, T. J., Parallel distributions on Manifolds, Proc. London Math. Soc., 6 (1956), 191-204.
  • [11] Yano, K. and Ishihara, S., Tangent and Cotangent Bundle. Marcel Dekker Inc. New York 1973.
  • [12] Yıldırım, M., On level hypersurfaces of the complete lift of a submersion, An. St. Univ. Ovidius Constanta, Vol. 17(2), 2009, 231-252.

On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry

Year 2010, Volume: 3 Issue: 2, 53 - 66, 30.10.2010

Mehmet Yıldırım

Abstract


Keywords

Complete lifts Degenerate distributions Tangent bundle

References

  • [1] Bejancu, A. and Farran, H. R., On the geometry of semi-Riemannian distributions, Analele Stiintifice ale Universitatii “Al. I. Cuza” din Iasi. Serie Noua. Matematica, 2005, f.1, 133-146.
  • [2] Duggal, K. L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
  • [3] Ianus, S., Some almost product structures on manifolds with linear connections, Kodai Math. Sem. Rep., 23 (1971), 305-310.
  • [4] O’ Neill, B., Semi -Riemannian Geometry with Applications to Relativity; Academic Press, 1983.
  • [5] Schouten, J. A., On non-holonomic connections, Proc. Kon. Akad. Amsterdam, 31 (1928), 291-299.
  • [6] S¸ahin, B., Gu¨ne¸s, R., On some properties of distributions in QR-submanifolds, Hacet. Bull. Nat. Sci. Eng. Ser. B 28 (1999), 15-23.
  • [7] Tani, M., Prolongations of Hypersurfaces to Tangent Bundle. Kodai Math. Sem. Rep. 21 (1969), 85-96.
  • [8] Vranceanu, G., Sur les espaces non holonomes, C. R. Acad. Sci. Paris, 183 (1926), 852-854.
  • [9] Walker, A. G., Connections for parallel distributions in the large, Quarterly J. Math. Oxford, 6 (1955), 301-308.
  • [10] Willmore, T. J., Parallel distributions on Manifolds, Proc. London Math. Soc., 6 (1956), 191-204.
  • [11] Yano, K. and Ishihara, S., Tangent and Cotangent Bundle. Marcel Dekker Inc. New York 1973.
  • [12] Yıldırım, M., On level hypersurfaces of the complete lift of a submersion, An. St. Univ. Ovidius Constanta, Vol. 17(2), 2009, 231-252.
There are 12 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Mehmet Yıldırım

Publication Date October 30, 2010
Published in Issue Year 2010 Volume: 3 Issue: 2

Cite

APA Yıldırım, M. (2010). On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry. International Electronic Journal of Geometry, 3(2), 53-66.
AMA Yıldırım M. On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry. Int. Electron. J. Geom. October 2010;3(2):53-66.
Chicago Yıldırım, Mehmet. “On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry”. International Electronic Journal of Geometry 3, no. 2 (October 2010): 53-66.
EndNote Yıldırım M (October 1, 2010) On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry. International Electronic Journal of Geometry 3 2 53–66.
IEEE M. Yıldırım, “On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry”, Int. Electron. J. Geom., vol. 3, no. 2, pp. 53–66, 2010.
ISNAD Yıldırım, Mehmet. “On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry”. International Electronic Journal of Geometry 3/2 (October 2010), 53-66.
JAMA Yıldırım M. On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry. Int. Electron. J. Geom. 2010;3:53–66.
MLA Yıldırım, Mehmet. “On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry”. International Electronic Journal of Geometry, vol. 3, no. 2, 2010, pp. 53-66.
Vancouver Yıldırım M. On The Complete Lift Distributions And Their Applications To Semi-Riemannian Geometry. Int. Electron. J. Geom. 2010;3(2):53-66.