Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Complex contact manifolds and hyperkähler geometry
Brendan Foreman
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2000 年 23 巻 1 号 p. 12-26

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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.
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© Department of Mathematics, Tokyo Institute of Technology
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