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ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD

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초록

In this paper, we study lightlike hypersurfaces of an inde¯nite Sasakian manifold ¹M . First, we construct a type of lightlike hypersurface according to the form of the structure vector ¯eld of ¹M , named by ascreen lightlike hypersurface. Next, we characterize the geometry of such ascreen lightlike hypersurfaces.

Abstract

In this paper, we study lightlike hypersurfaces of an inde¯nite Sasakian manifold ¹M . First, we construct a type of lightlike hypersurface according to the form of the structure vector ¯eld of ¹M , named by ascreen lightlike hypersurface. Next, we characterize the geometry of such ascreen lightlike hypersurfaces.

참고문헌 (9)

  1. K.L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  2. K.L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Mani-folds" (2007), World Scientific
  3. K.L. Duggal, "Generalized Cauchy-Riemann lightlike Submanifolds of in-definite Sasakian manifolds", Acta Math. Hungar, 112(1-2), pp.113~136 (2006)
  4. K.L. Duggal, "Lightlike Submanifolds of indefinite Sasakian manifolds", Int. J. Math. Math. Sci, pp.1~21 (2007)
  5. K.L. Duggal, "Differential geometry of lightlike submanifolds" (2010), Frontiers in Mathematics
  6. D.H. Jin, "Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold", Indian J. Pure Appl. Math, 41(4), pp.569~581 (2010)
  7. 진대호, "GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD", 대한수학회논문집, 27(1), pp.185~195 (2012), 대한수학회
  8. D.H. Jin, "Special half lightlike submanifolds of an indefinite cosymplectic manifold", J. Function Spaces and Appl, pp.1~16 (2012)
  9. T.H. Kang, "Lightlike hypersurfaces of indefinite Sasakian manifolds", Indian J. Pure Appl. Math, 34(9), pp.1369~1380 (2003)

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