English

Holomorphic Cartan geometries on complex tori

Differential Geometry 2018-02-14 v2

Abstract

In [DM] it was asked whether all flat holomorphic Cartan geometries (G,H) on a complex torus are translation invariant. We answer this affimatively under the assumption that the complex Lie group G is affine. More precisely, we show that every holomorphic Cartan geometry of type (G,H), with G a complex affine Lie group, on any complex torus is translation invariant.

Keywords

Cite

@article{arxiv.1710.05874,
  title  = {Holomorphic Cartan geometries on complex tori},
  author = {Indranil Biswas and Sorin Dumitrescu},
  journal= {arXiv preprint arXiv:1710.05874},
  year   = {2018}
}

Comments

Minor corrections

R2 v1 2026-06-22T22:15:33.908Z