HOLOMORPHIC RIEMANNIAN METRIC AND FUNDAMENTAL GROUP

Indranil Biswas (1) , Sorin Dumitrescu (2)

1 TIFR - Tata Institute for Fundamental Research
2 LJAD - Laboratoire Jean Alexandre Dieudonné

We prove that compact complex manifolds bearing a holomorphic Riemannian metric have infinite fundamental group.

Domaines: Mathématiques [math]

Indranil Biswas, Sorin Dumitrescu. HOLOMORPHIC RIEMANNIAN METRIC AND FUNDAMENTAL GROUP. Bulletin de la société mathématique de France, 2019, 147 (3), pp.455-468. ⟨hal-01771563⟩