Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON HYPERSURFACES OF MANIFOLDS EQUIPPED WITH A HYPERCOSYMPLECTIC 3-STRUCTURE

  • Song, Yeong-Moo (Department of Mathematics Education Sunchon National University) ;
  • Kim, Jeong-Sik (Department of Mathematics Education Sunchon National University) ;
  • Tripathi, Mukut-Mani (Department of Mathematics and Astronomy Lucknow University)
  • Published : 2003.04.01
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Abstract

Hypersurfaces of a Riemannian manifold equipped with a hypercosymplectic 3-structure are studied. Integrability conditions for certain distributions on the hypersurface are investigated. Geometry of leaves of certain distribution are also studied.

Keywords

References

  1. Demonstratio Mathematica v.17 no.1 Hyprsurfaces of manifolds with a Sasakian 3-structure A.Bejanca
  2. Lecture Notes in Math. v.509 Contact manifolds in Riemannian geometry D.E.Blair
  3. J. Differential Geometry v.9 Quaternion Kahlerian manifolds S.Ishihara https://doi.org/10.4310/jdg/1214432544
  4. Natural Science Report v.22 no.1 A note on a Riemarnian space with Sasakian 3-structure T.Kashiwads
  5. T'ohoku Math. J. v.22 On almost contact 3-structure Y.Y.Kuo https://doi.org/10.2748/tmj/1178242759
  6. Czechoslovak Math. J. v.48;123 no.3 Almost hypr-Hermition structures in bundle space over manifolds with almost contact 3-structure F.Martin Cabrera
  7. Structures on a manifold K.Yano;M.Kon

Cited by

  1. Semi-Riemannian hypersurfaces in manifolds with metric mixed 3-structures vol.127, pp.1-2, 2010, https://doi.org/10.1007/s10474-009-9112-z
  2. Normal almost contact metric structures of hyperbolic type of the first kind on hypersurfaces of a space of constant holomorphic curvature of hyperbolic type vol.45, pp.1, 2005, https://doi.org/10.1007/s10986-005-0002-y