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Abstract
Given a quaternionic manifold M with a certain U(1)-symmetry, we construct a hypercomplex manifold M' of the same dimension. This construction generalizes the quaternionic Kähler/ hyper-Kähler-correspondence. As an example of this construction, we obtain a compact homogeneous hypercomplex manifold which does not admit any hyper-Kähler structure. Therefore our construction is a proper generalization of the quaternionic Kähler/hyper-Kähler-correspondence.
Journal
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- Osaka Journal of Mathematics
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Osaka Journal of Mathematics 58 (1), 213-238, 2021-01
Osaka University and Osaka City University, Departments of Mathematics
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Details 詳細情報について
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- CRID
- 1390853649695170432
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- NII Article ID
- 120006998393
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- NII Book ID
- AA00765910
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- DOI
- 10.18910/78998
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- HANDLE
- 11094/78998
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- ISSN
- 00306126
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- Text Lang
- en
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- Data Source
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- JaLC
- IRDB
- CiNii Articles