Holomorphic geometric structures on Oeljeklaus-Toma manifolds
Differential Geometry
2024-08-30 v2 Algebraic Geometry
Abstract
We prove that any holomorphic geometric structure of affine type on an Oeljeklaus- Toma manifold is locally homogeneous. For locally conformal K\"ahler Oeljeklaus-Toma manifolds we prove that all holomorphic geometric structures, and also all holomorphic Cartan geometries, on them are locally homogeneous.
Keywords
Cite
@article{arxiv.2402.09012,
title = {Holomorphic geometric structures on Oeljeklaus-Toma manifolds},
author = {Indranil Biswas and Sorin Dumitrescu},
journal= {arXiv preprint arXiv:2402.09012},
year = {2024}
}
Comments
Final version to appear in Manuscripta Mathematica