Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 033, 13 pages      arXiv:1309.0357
Contribution to the Special Issue on Progress in Twistor Theory

Hyperkähler Manifolds of Curves in Twistor Spaces

Roger Bielawski
Institut für Differentialgeometrie, Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany

Received November 06, 2013, in final form March 19, 2014; Published online March 28, 2014

We discuss hypercomplex and hyperkähler structures obtained from higher degree curves in complex spaces fibring over ${\mathbb{P}}^1$.

Key words: hyperkähler metrics; hypercomplex structures; twistor methods; projective curves.

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