SCREEN CONFORMAL LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM

  • Jin, Dae-Ho (DEPARTMENT OF MATHEMATICS, DONGGUK UNIVERSITY)
  • Published : 2009.08.31

Abstract

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

Keywords

References

  1. Akivis, M. A. & Goldberg, V. V.: Lightlike hypersurfaces on manifolds endowed with a conformal structure of Lorentzian signature. Acta Appli. Math. 57 (1999), 255-285. https://doi.org/10.1023/A:1006244706787
  2. Atindogbe, C. & Duggal, K. L.: Conformal screen on lightlike hypersurfaces. International J. of Pure and Applied Math. 11 (2004), no. 4, 421-442.
  3. Duggal, K. L.: A report on canonical null curves and screen distributions for lightlike geometry. Acta Appl Math. 95 (2007), 135-149. https://doi.org/10.1007/s10440-006-9082-x
  4. Duggal, K. L. & Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Kluwer Acad. Publishers, Dordrecht, 1996.
  5. Duggal, K. L. & Jin, D. H.: Null curves and Hypersurfaces of Semi-Riemannian Manifolds. World Scientific, 2007.
  6. Duggal, K. L. & Jin, D. H.: A classification 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. Sciences 8 (2001), no. 1, 41-55.
  8. O'Neill, B.: Semi-Riemannian Geometry with Applications to Relativity. Academic Press, 1983.