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On generic submanifolds with Sasakian structure of Sⁿ(1/√2) × Sⁿ(1/√2)

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초록

Let M be a generic submanifold of Sⁿ × Sⁿ. If M admits an Sasakian structure, then M is a Brieskorn manifold.

Abstract

Let M be a generic submanifold of Sⁿ × Sⁿ. If M admits an Sasakian structure, then M is a Brieskorn manifold.

참고문헌 (3)

  1. Yano. K., "Differential geometry of Sn × Sn", J. Diff. Geo, 8, pp.181~206 (1973)
  2. S. H. Shin, "Brieskorn manifold induced in a hypersurface of a product of two spheres", Pusan Kyoungnam Math. J, 11(2), pp.351~357 (1995)
  3. U. H. Ki, "On generic submanifolds with antinormal structure of an odd-dimensional spheres", Kyungpook Math.J, 20(2), pp.217~229 (1980)

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