All Title Author
Keywords Abstract

Mathematics  2008 

Holomorphic Cartan geometries and Calabi--Yau manifolds

DOI: 10.1016/j.geomphys.2009.12.011

Full-Text   Cite this paper   Add to My Lib

Abstract:

We prove that the only Calabi--Yau projective manifolds which bear holomorphic Cartan geometries are precisely the abelian varieties. (Nous d\'emontrons que les seules vari\'et\'es projectives de Calabi--Yau qui poss\`edent des g\'eom\'etrie holomorphes de Cartan sont les vari\'et\'es ab\'eliennes.)

Full-Text

comments powered by Disqus