Holomorphic Cartan geometries and Calabi--Yau manifolds

Details Holomorphic Cartan geometries and Calabi--Yau manifolds Holomorphic Cartan geometries and Calabi--Yau manifolds

2008-12-21

arxiv.org/abs/0812.3978v1

J. Geom. Phys. 60 (2010), no. 4, 661--663

Mathematics

Algebraic Geometry

4 pages

Scientific paper

10.1016/j.geomphys.2009.12.011

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.)

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