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Hypercomplex manifolds and hyperholomorphic bundles

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Publication:4786806
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DOI10.1017/S0305004102006114zbMath1027.53048MaRDI QIDQ4786806

Birte Feix

Publication date: 5 May 2003

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)


zbMATH Keywords

affine connectionstangent bundlehypercomplex manifoldszero sectiontotally-geodesic


Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Connections (general theory) (53C05)


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On the hyperkähler/quaternion Kähler correspondence ⋮ C-projective symmetries of submanifolds in quaternionic geometry ⋮ Complex product structures and affine foliations ⋮ Wall-crossing in coupled 2d-4d systems ⋮ Projective geometry and the quaternionic Feix–Kaledin construction ⋮ Rozansky-Witten theory, localised then tilted ⋮ The Hyperholomorphic Line Bundle ⋮ Twistor construction of asymptotically hyperbolic Einstein-Weyl spaces




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