2014年12月
Construction of Complex Contact Manifolds via Reduction
TOKYO JOURNAL OF MATHEMATICS
- 巻
- 37
- 号
- 2
- 開始ページ
- 509
- 終了ページ
- 522
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- TOKYO JOURNAL MATHEMATICS EDITORIAL OFFICE ACAD CENTER
Kobayashi [13] introduced complex contact manifolds as a variant of real contact manifolds. Later, Ishihara and Konishi [11] defined normality of complex contact manifolds as for Sasakian manifolds in real contact geometry. In this paper, we construct normal complex contact manifolds via reduction from hyperkahler manifolds, and give a new example of normal complex contact manifolds. To check the normality for the new examples, we give a useful identity about sectional curvatures of normal complex contact manifolds. We also give an explicit example of a non-normal complex almost contact metric structure on S4m+3 x S4n+3.
- リンク情報
- ID情報
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- ISSN : 0387-3870
- Web of Science ID : WOS:000350999200013