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THE QUATERNIONIC/HYPERCOMPLEX-CORRESPONDENCE

Cortés, Vicente 大阪大学 DOI:10.18910/78998

2021.01

概要

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.

参考文献

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