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LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS

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초록

In this paper, we study the geometry of lightlike real hypersurfaces of an indefinite Kaehler manifold. The main result is a characterization theorem for lightlike real hypersurfaces M of an indefinite complex space form ¯M (c) such that the screen distribution is totally umbilic.

Abstract

In this paper, we study the geometry of lightlike real hypersurfaces of an indefinite Kaehler manifold. The main result is a characterization theorem for lightlike real hypersurfaces M of an indefinite complex space form ¯M (c) such that the screen distribution is totally umbilic.

참고문헌 (6)

  1. A. Bejancu, "Real hypersurfaces of indefinite Kaehler manifolds", Internat. J. Math. Math. Sci., 16(3), pp.545~556 (1993)
  2. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications", Mathematics and its Applications, 364 (1996), Kluwer Academic Publishers Group
  3. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific Publishing Co. Pte. Ltd.
  4. K. Nomizu, "On the geometry of affine immersions", Math. Z., 195(2), pp.165~178 (1987)
  5. B. O’Neill, "Semi-Riemannian Geometry with Applications to Relativity" (1983), Academic Press
  6. Y. Tashiro, "On Fubinian and C-Fubinian manifolds", K¯odai Math. Sem. Rep., 15, pp.176~183 (1963)

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