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CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD ENDOWED WITH A QUARTER SYMMETRIC METRIC CONNECTION

Mobin Ahmad
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회보 (Bulletin of the KMS)|제49권 제1호|pp. 25-32

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참고문헌

키워드

Lorentzian para-Sasakian manifoldquarter symmetric metric connectionCR-submanifoldsintegrability conditions of the distributions
주제분류수학

초록

We de ne a quarter symmetric metric connection in a Lorentzian para-Sasakian manifold and study CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric metric connection. Moreover, we also obtain integrability conditions of the distributions on CR-submanifolds.

Abstract

We de ne a quarter symmetric metric connection in a Lorentzian para-Sasakian manifold and study CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric metric connection. Moreover, we also obtain integrability conditions of the distributions on CR-submanifolds.

참고문헌 (13)

  1. Mobin Ahmad, "Hypersurfaces of an almost r-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric Connection", Kyungpook Mathematical Journal, 49(3), pp.533~543 (2009), 경북대학교 자연과학대학 수학과
  2. Mobin Ahmad, "Hypersurfaces of almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection", 대한수학회보, 46(3), pp.477~487 (2009), 대한수학회
  3. A. Bejancu, "CR-submanifolds of a Kaehler manifold I", Proc. Amer. Math. Soc, 69(1), pp.135~142 (1978)
  4. A. Bejancu, "Geometry of CR-submanifolds" (1986), D. Reidel Pub. Co
  5. Lovejoy S. K. Das, "CR-submanifolds of LP-Sasakian man- ifold with semi-symmetric non-metric connection, communicated", ~
  6. Lovejoy S. K. Das, "CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric non-metric connection", Math. Sci. Res. J, 13(7), pp.161~169 (2009)
  7. U. C. De, "CR-submanifolds of a Lorentzian para-Sasakian manifold", Bull. Malays. Math. Sci. Soc. (2), 23(2), pp.99~106 (2000)
  8. S. Golab, "On semi-symmetric and quarter symmetric linear connections", Tensor (N.S.), 29(3), pp.249~254 (1975)
  9. M. Kobayashi, "CR submanifolds of a Sasakian manifold", Tensor (N.S.), 35(3), pp.297~307 (1981)
  10. K. Matsumoto, "On Lorentzian paracontact manifolds", Bull. Yamagata Univ. Natur. Sci, 12(2), pp.151~156 (1989)
  11. C. Ozgur, "CR-submanifolds of a Lorentzian para-Sasakian man- ifold with a semi-symmetric metric connection", Hacet. J. Math. Stat, 39(4), pp.489~496 (2010)
  12. B. Prasad, "Semi-invariant submanifolds of a Lorentzian para-Sasakian manifold", Bull. Malaysian Math. Soc, 21(1), pp.21~26 (1998)
  13. S. Prasad, "Lorentzian para-contact submanifolds", Publ. Math. Debrecen, 44(3), pp.215~223 (1994)

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