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SCREEN CONFORMAL LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM

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We study the geometry of screen conformal lightlike hypersurfaces M of a semi-Riemannian manifold [기호] . The main result is a characterization theorem for screen conformal lightlike hypersurfaces of a semi-Riemannian space form.

Abstract

We study the geometry of screen conformal lightlike hypersurfaces M of a semi-Riemannian manifold [기호] . The main result is a characterization theorem for screen conformal lightlike hypersurfaces of a semi-Riemannian space form.

참고문헌 (8)

  1. Akivis, M. A, "Lightlike hypersurfaces on manifolds endowed with a conformal structure of Lorentzian signature", Acta Appli. Math, 57, pp.255~285 (1999)
  2. Atindogbe, C, "Conformal screen on lightlike hypersurfaces", Interna- tional J. of Pure and Applied Math, 11(4), pp.421~442 (2004)
  3. Duggal, K. L, "A report on canonical null curves and screen distributions for lightlike geometry", Acta Appl Math, 95, pp.135~149 (2007)
  4. Duggal, K. L, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  5. Duggal,K.L, "Null curves and Hypersurfaces of Semi-Riemannian Mani- folds" (2007), World Scientific
  6. Duggal, K. L, "A classi¯cation of Einstein lightlike hypersurfaces of a Lorentzian space form", to appear in J. Geom. Phys
  7. Jin, D. H, "Totally umbilical hypersurfaces of Lorentz manifolds", Korean J. Math. Sci- ences, 8(1), pp.41~55 (2001)
  8. O'Neill, B, "Semi-Riemannian Geometry with Applications to Relativity" (1983), Academic Press

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