S-T. Yau - Existence of complete Kähler-Einstein metric with negative scalar curvature

Shing-Tung Yau (1) , Jérémy Magnien (2)

1 Harvard University
2 IF - Institut Fourier

This is a talk about my works with Damin Wu concerning those manifolds with negative holomorphic sectional curvature. I shall describe our theorem that such manifold must have negative first Chern class.

Mots clés: Complex analytic and differential geometry 2017; Grenoble; Kähler-Einstein; scalar curvature

Domaines: Géométrie différentielle [math.DG]

Shing-Tung Yau, Jérémy Magnien. S-T. Yau - Existence of complete Kähler-Einstein metric with negative scalar curvature: Complex analytic and differential geometry 2017. 2017. ⟨medihal-01615538⟩