English

Hyperk\"ahler Manifolds of Curves in Twistor Spaces

Differential Geometry 2014-07-22 v4

Abstract

We discuss hypercomplex and hyperk\"ahler structures obtained from higher degree curves in complex spaces fibring over P1{\mathbb{P}}^1.

Keywords

Cite

@article{arxiv.1309.0357,
  title  = {Hyperk\"ahler Manifolds of Curves in Twistor Spaces},
  author = {Roger Bielawski},
  journal= {arXiv preprint arXiv:1309.0357},
  year   = {2014}
}

Comments

v4: added the missing assumption on dimension in Theorem 3.11