論文

査読有り
2019年6月

SOME EXAMPLES OF GLOBAL POISSON STRUCTURES ON S-4

KODAI MATHEMATICAL JOURNAL
  • Takayuki Moriyama
  • ,
  • Takashi Nitta

42
2
開始ページ
223
終了ページ
246
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.2996/kmj/1562032829
出版者・発行元
KINOKUNIYA CO LTD

A Poisson structure is a bivector whose Schouten bracket vanishes. We study a global Poisson structure on S-4 associated with a holomorphic Poisson structure on CP3. The space of such Poisson structures on S-4 is realised as a real algebraic variety in the space of holomorphic Poisson structures on CP3. We generalize the result to the higher dimensional case HPn by the twistor method. It is known that a holomorphic Poisson structure on CP3 corresponds to a codimension one holomorphic foliation and the space of these foliations of degree 2 has six components. In this paper we provide examples of Poisson structures on S-4 associated with these components.


リンク情報
DOI
https://doi.org/10.2996/kmj/1562032829
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000474766000002&DestApp=WOS_CPL
ID情報
  • DOI : 10.2996/kmj/1562032829
  • ISSN : 0386-5991
  • Web of Science ID : WOS:000474766000002

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