• Title/Summary/Keyword: hypercosymplectic 3-structure

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ON GENERIC SUBMANIFOLDS OF MANIFOLDS EQUIPPED WITH A HYPERCOSYMPLECTIC 3-STRUCTURE

  • Kim Jeong-Sik;Choi Jae-Dong;Tripathi Mukut Mani
    • Communications of the Korean Mathematical Society
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    • v.21 no.2
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    • pp.321-335
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    • 2006
  • Generic submanifolds of a Riemannian manifold endowed with a hypercosymplectic 3-structure are studied. Integrability conditions for certain distributions on the generic submanifold are discussed. Geometry of leaves of certain distributions are also studied.

ON HYPERSURFACES OF MANIFOLDS EQUIPPED WITH A HYPERCOSYMPLECTIC 3-STRUCTURE

  • Song, Yeong-Moo;Kim, Jeong-Sik;Tripathi, Mukut-Mani
    • Communications of the Korean Mathematical Society
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    • v.18 no.2
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    • pp.297-308
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    • 2003
  • 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.