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REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES

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초록

In this paper, we prove two characterization theorems for real half lightlike submanifold( M,g,S(TM)) of an indefinite Kaehler manifold M or an indefinite complex space form M(c) subject to the conditions : (a) M is totally umbilicalin M, or (b) its screen distribution S(TM) is totally umbilical in M.

Abstract

In this paper, we prove two characterization theorems for real half lightlike submanifold( M,g,S(TM)) of an indefinite Kaehler manifold M or an indefinite complex space form M(c) subject to the conditions : (a) M is totally umbilicalin M, or (b) its screen distribution S(TM) is totally umbilical in M.

참고문헌 (9)

  1. Duggal, K.L., "Lightlike submanifolds of codimension 2", Math. J. Toyama Univ., 15, pp.59~82 (1992)
  2. Duggal, K.L., "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  3. Duggal, K.L., "Half-lightlike submanifolds of codimension 2", Math. J. Toyama Univ., 22, pp.121~161 (1999)
  4. Dae Ho Jin, "LIGHTLIKE HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS", 충청수학회지, 22(3), pp.409~416 (2009), 충청수학회
  5. 진대호, "HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS", 순수 및 응용수학, 17(1), pp.29~38 (2010), 한국수학교육학회
  6. 진대호, "LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS", 대한수학회논문집, 25(3), pp.443~450 (2010), 대한수학회
  7. 진대호, "GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS", 대한수학회보, 47(4), pp.701~714 (2010), 대한수학회
  8. Kupeli, D.N., "Singular Semi-Riemannian Geometry. Mathematics and Its Applications" (1996), Kluwer Acad. Publishers
  9. O'Neill, B., "Semi-Riemannian Geometry with Applications to Relativity" (1983), Academic Press

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