BibTex RIS Cite

CR-SUBMANIFOLDS OF A NEARLY -LORENTZIAN TRANS SASAKIAN MANIFOLD

Year 2018, Volume: 8 Issue: 1, 51 - 60, 01.06.2018

Abstract

This paper considers the study of CR-submanifold of a nearly -Lorentzian trans Sasakian manifold, generalizing the results of a nearly -Lorentzian trans Sasakian manifold and thus those of Sasakian manifolds. We also obtain some results on parallel distribution relating to -vertical CR-submanifold of a nearly -Lorentzian trans Sasakian manifold.

References

  • Bejancu, A., (1986), Geometry of CR-submanifolds, D. Reidel Publ. Co.
  • Bejancu, A., (1978) CR-submanifolds of a Kaehler manifold I, Proc. Amer. Math. Soc. 69 (1) pp.135- 142.
  • Mihai, I. and Rosca, R., (1992), On Lorentzian P -Sasakian manifolds, Classical Analysis, World Scientific Publ., pp. 155-169.
  • Matsumoto, K., (1989) On Lorentzian para-contact manifolds, Bull. of Yamagata Univ.,Nat. Sci., 12, pp. 151-156.
  • Matsumoto, K. and Mihai, I., (1988), On a certain transformation in Lorentzian para-Sasakian man- ifold, Tensor, N.S., 47, pp. 189-197.
  • Yano K. and Kon, M.,(1982) Contact CR-submanifolds, Kodai Math. J. 5 (2), pp. 238-252.
  • Duggal K. L. and Bejancu, A.,(1994) Spacetime geometry of CR-structures, Contemporary Math. 170, pp. 49-63.
  • Kobayashi, M. (1981) CR-submanifolds of a Sasakian manifold, Tensor, N.S., 35 (3), pp. 297-307.
  • Shahid, M. H. , Sharfuddin, A. and Husain, S. A.,(1985) CR-submanifolds of a Sasakian manifold, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 15 (1), pp. 263-278.
  • De, U.C., Matsumoto K. and Shaikh, A. A., (1999), On Lorentzian para-Sasakian manifolds, Rendicontidel Seminario Matematico di Messina, Serie II, Supplemento al n., 3, pp.149-158.
Year 2018, Volume: 8 Issue: 1, 51 - 60, 01.06.2018

Abstract

References

  • Bejancu, A., (1986), Geometry of CR-submanifolds, D. Reidel Publ. Co.
  • Bejancu, A., (1978) CR-submanifolds of a Kaehler manifold I, Proc. Amer. Math. Soc. 69 (1) pp.135- 142.
  • Mihai, I. and Rosca, R., (1992), On Lorentzian P -Sasakian manifolds, Classical Analysis, World Scientific Publ., pp. 155-169.
  • Matsumoto, K., (1989) On Lorentzian para-contact manifolds, Bull. of Yamagata Univ.,Nat. Sci., 12, pp. 151-156.
  • Matsumoto, K. and Mihai, I., (1988), On a certain transformation in Lorentzian para-Sasakian man- ifold, Tensor, N.S., 47, pp. 189-197.
  • Yano K. and Kon, M.,(1982) Contact CR-submanifolds, Kodai Math. J. 5 (2), pp. 238-252.
  • Duggal K. L. and Bejancu, A.,(1994) Spacetime geometry of CR-structures, Contemporary Math. 170, pp. 49-63.
  • Kobayashi, M. (1981) CR-submanifolds of a Sasakian manifold, Tensor, N.S., 35 (3), pp. 297-307.
  • Shahid, M. H. , Sharfuddin, A. and Husain, S. A.,(1985) CR-submanifolds of a Sasakian manifold, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 15 (1), pp. 263-278.
  • De, U.C., Matsumoto K. and Shaikh, A. A., (1999), On Lorentzian para-Sasakian manifolds, Rendicontidel Seminario Matematico di Messina, Serie II, Supplemento al n., 3, pp.149-158.
There are 10 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

S. Rahman This is me

Publication Date June 1, 2018
Published in Issue Year 2018 Volume: 8 Issue: 1

Cite