論文

査読有り
2008年7月

Asymptotically holomorphic embeddings of presymplectic manifolds

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
  • Takayuki Moriyama

60
3
開始ページ
905
終了ページ
933
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.2969/jmsj/06030905
出版者・発行元
MATH SOC JAPAN

We apply Donaldson-Auroux's 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 k omega/2 pi for large integers k. Moreover, we can construct asymptotically holomorphic immersions along the symplectic distribution of presymplectic manifolds into the projective spaces.


リンク情報
DOI
https://doi.org/10.2969/jmsj/06030905
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000268191500011&DestApp=WOS_CPL
ID情報
  • DOI : 10.2969/jmsj/06030905
  • ISSN : 0025-5645
  • Web of Science ID : WOS:000268191500011

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