2019年6月

# SOME EXAMPLES OF GLOBAL POISSON STRUCTURES ON S-4

KODAI MATHEMATICAL JOURNAL
• Takayuki Moriyama
• ,
• Takashi Nitta

42
2

223

246

DOI
10.2996/kmj/1562032829

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