Holomorphic Cartan geometries and Calabi--Yau manifolds

Abstract

We prove that the only Calabi--Yau projective manifolds which bear holomorphic Cartan geometries are precisely the abelian varieties. (Nous démontrons que les seules variétés projectives de Calabi--Yau qui possèdent des géométrie holomorphes de Cartan sont les variétés abéliennes.)

4 pages

Cited by in corpus (4)

• Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves
• Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
• Fujiki class $\mathcal{C}$ and holomorphic geometric structures
• Killing Fields of Holomorphic Cartan Geometries