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On generic submanifolds of manifolds equipped with a hypercosymplectic $3$-structure

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Abstract

Generic submanifolds of a Riemannian manifold endowed with ahypercosymplectic 3-structure are studied. Integrabilityconditions for certain distributions on the generic submanifoldare discussed. Geometry of leaves of certain distributions arealso studied.

참고문헌 (7)

  1. "Genericsubmanifolds of manifolds with a Sasakian 3", pp.75~ (1986)
  2. "holonomiehomog", pp.279~ (1955)
  3. "Contact manifolds in Riemanniangeometry Lecture Notes in Math. 509" (1976), Springer Verlag
  4. "Quaternionicreduction and Einstein manifolds" (1993)
  5. "A note on a Riemannian space withSasakian 3", pp.1~ (1971), OchanomizuUniversity
  6. "On hypersurfaces of manifolds equipped with ahypercosymplectic 3-structure" (2003)
  7. "Almost hyper-Hermitian structuresin bundle space over manifolds with almost contact 3-structure" (1998)

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