Complex contact manifolds and hyperkähler geometry
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概要
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We investigate the properties of a certain class of hermitian metrics on complex contact manifolds with global complex contact forms. These are called complex Sasakian metrics. In the main theorem, we prove a relationship between complex Sasakian geometry and hyperkähler geometry. We then compare these complex contact manifolds to the more famous twistor space examples.
- 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文
国立大学法人 東京工業大学大学院理工学研究科数学専攻 | 論文
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