Asymptotically holomorphic embeddings of presymplectic manifolds

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概要

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• We apply Donaldson-Aurouxs asymptotically holomorphic methods to construct asymptotically holomorphic embeddings of presymplectic closed manifolds of constant rank with integral form into Grassmannians Gr(r,N). In particular, we obtain asymptotically holomorphic embeddings into the projective spaces CPN-1 such that the pull-back of the Fubini-Study form is cohomologous to kω/2π for large integers k. Moreover, we can construct asymptotically holomorphic immersions along the symplectic distribution of presymplectic manifolds into the projective spaces.

• 2008-07-01

著者

• Moriyama Takayuki

  Department Of Mathematics Osaka University

関連論文

• Asymptotically holomorphic embeddings of presymplectic manifolds

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