Uniformization of compact complex manifolds by Anosov homomorphisms

• Published in: Geometric and functional analysis Vol. 31; no. 4; pp. 815 - 854
• Main Authors: Dumas, David, Sanders, Andrew
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.08.2021; Springer Nature B.V
• Subjects: Analysis; Deformation; Flags; Homomorphisms; Hypotheses; Lie groups; Manifolds; Mathematics; Mathematics and Statistics; Quotients

We study uniformization problems for compact manifolds that arise as quotients of domains in complex flag varieties by images of Anosov homomorphisms. We focus on Anosov homomorphisms with “small” limit sets, as measured by the Riemannian Hausdorff codimension in the flag variety. Under such a codim...