This article is cited in 6 papers

Hyperkähler Manifolds of Curves in Twistor Spaces

Roger Bielawski

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

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

Keywords: hyperkähler metrics; hypercomplex structures; twistor methods; projective curves.

MSC: 53C26; 53C28; 32G10; 14H15

Received: November 6, 2013; in final form March 19, 2014; Published online March 28, 2014

Language: English

DOI: 10.3842/SIGMA.2014.033

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ArXiv: 1309.0357