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Special half lightlike submanifolds of an indefinite Sasakian manifold

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In this paper, we study the geometry of half lightlike submanifolds of an indefinite Sasakian manifold. There are several different types of half lightlike submanifolds of an indefinite Sasakian manifold according to the form of its structure vector field. We study two types of them here: tangential and ascreen half lightlike submanifolds.

Abstract

In this paper, we study the geometry of half lightlike submanifolds of an indefinite Sasakian manifold. There are several different types of half lightlike submanifolds of an indefinite Sasakian manifold according to the form of its structure vector field. We study two types of them here: tangential and ascreen half lightlike submanifolds.

참고문헌 (13)

  1. A. Bejancu, "Geometry of CR-submanifolds" (1986), D. Reil, Dordrecht
  2. C. Calin, "Contributions to geometry of CR-submanifold", pp.1998
  3. G. de Rham, "Sur la reductibilite d'un espace de Riemannian", Comm. Math. Helv, 26, pp.328~344 (1952)
  4. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  5. K. L. Duggal, "Half-Lightlike Submanifolds of Codimension 2", Math. J. Toyama Univ, 22, pp.121~161 (1999)
  6. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  7. K. L. Duggal, "Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds", Acta Math. Hungar, 112(1-2), pp.107~130 (2006)
  8. K. L. Duggal, "Lightlike Submanifolds of indefinite Sasakian manifolds", Int. J. Math. Math. Sci, 2007, pp.21~ (2007)
  9. D. H. Jin, "Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold", Indian J. Pure Appl. Math, 41(4,), pp.569~581 (2010)
  10. Dae Ho Jin, "TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(1), pp.51~61 (2011), 한국수학교육학회
  11. Dae Ho Jin, "HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(2), pp.173~183 (2011), 한국수학교육학회
  12. T. H. Kang, "Lightlike hypersurfaces of indefinite Sasakian manifolds", Indian J. Pure Appl. Math, 34(9), pp.1369~1380 (2003)
  13. D. N. Kupeli, "Singular Semi-Riemannian Geometry, Mathematics and Its Applications" (1996), Kluwer Acad. Publishers

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