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HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS

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초록

We sudy the geometry of half lightlike submanifold M of a semi-Riemannian space form M(c) subject to the conditions : (a) the screen distribution on M is totally umbilic in M and the coscreen distribution on M is conformal Killing on M or (b) the screen distribution is totally geodesic in M and M is irrotational.

Abstract

We sudy the geometry of half lightlike submanifold M of a semi-Riemannian space form M(c) subject to the conditions : (a) the screen distribution on M is totally umbilic in M and the coscreen distribution on M is conformal Killing on M or (b) the screen distribution is totally geodesic in M and M is irrotational.

참고문헌 (8)

  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. Harris, S.G., "A triangle comparison theorem for Lorentz manifolds", Indiana Math. J., 31, pp.289~308 (1982)
  5. 진대호, "EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH A KILLING CO-SCREEN DISTRIBUTION", 호남수학학술지, 30(3), pp.487~504 (2008), 호남수학회
  6. 진대호, "A CHARACTERIZATION OF SCREEN CONFORMAL HALF LIGHTLIKE SUBMANIFOLDS", 호남수학학술지, 31(1), pp.17~23 (2009), 호남수학회
  7. Kupeli, D.N., "Singular Semi-Riemannian Geometry. Mathematics and Its Applications" (1996), Kluwer Acad. Publishers
  8. Yano, K., "Differential Geometry on Complex and Almost Complex Spaces" (1965), The Macmil-lan Company

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