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

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  • [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.