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GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD

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초록

We study the geometry of lightlike hypersurfaces M of an inde nite cosymplectic manifold $\bar{M}$ such that either (1) the characterist vector field $\zeta$ of $\bar{M}$ belongs to the screen distribution S(TM) of M or (2) $\zeta$ belongs to the orthogonal complement $S(TM)^{\perp}$ of S(TM) in $T\bar{M}$.

Abstract

We study the geometry of lightlike hypersurfaces M of an inde nite cosymplectic manifold $\bar{M}$ such that either (1) the characterist vector field $\zeta$ of $\bar{M}$ belongs to the screen distribution S(TM) of M or (2) $\zeta$ belongs to the orthogonal complement $S(TM)^{\perp}$ of S(TM) in $T\bar{M}$.

참고문헌 (12)

  1. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds" (2002), Birkhauser
  2. C. Calin, "Contributions to geometry of CR-submanifold", pp.1998
  3. G. de Rham, "Sur la reductibilite d'un espace de Riemannian", Comm. Math. Helv, 26, pp.328~344 (1952)
  4. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  5. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Man- ifolds" (2007), World Scienti
  6. K. L. Duggal, "A classi cation of Einstein lightlike hypersurfaces of a Lorentzian space form", J. Geom. Phys, 60(12), pp.1881~1889 (2010)
  7. 진대호, "SCREEN CONFORMAL LIGHTLIKE REAL HYPERSURFACES OF AN INDEFINITE COMPLEX SPACE FORM", 대한수학회보, 47(2), pp.341~353 (2010), 대한수학회
  8. 진대호, "GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD", INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 41(4), pp.569~581, INDIAN NAT SCI ACAD
  9. D. H. Jin, "Special half lightlike submanifolds of an inde nite Sasakian manifold to appear", Bull. Korean Math. Soc
  10. S. K. Kim, "Lightlike submanifolds of inde nite cosymplectic manifolds", 박사, pp.2007
  11. D. N. Kupeli, "Singular Semi-Riemannian Geometry" (1996), Kluwer Acad. Publishers
  12. G. D. Ludden, "Submanifolds of cosymplectic manifolds", J. Differential Geometry, 4, pp.237~244 (1970)

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