English

Twistorial structures revisited

Differential Geometry 2016-12-23 v1 Algebraic Geometry

Abstract

We review the twistorial structures by providing a setting under which the corresponding (differential) geometry can be described, by involving the ρ\rho-connections. This applies, for example, to give new proofs of the existence of the relevant connections for the projective and the quaternionic geometries. Along the way, we show that, in this setting, the Ward transformation is a consequence of the good behaviour of the ρ\rho-connections, under pull back.

Keywords

Cite

@article{arxiv.1612.07488,
  title  = {Twistorial structures revisited},
  author = {Radu Pantilie},
  journal= {arXiv preprint arXiv:1612.07488},
  year   = {2016}
}

Comments

Preprint IMAR, Bucharest, 2016, 8 pages

R2 v1 2026-06-22T17:32:02.374Z