3 papers
math.DG2026
Curvature of hyperbolic complex manifolds
Kyle Broder, Hervé Gaussier
The article addresses the construction and geography of negatively curved metrics on hyperbolic complex manifolds. We introduce a mechanism for constructing complete Kähler metric…
math.CV2025
Properties and examples of Kobayashi hyperbolic Riemannian manifolds
Hervé Gaussier, Alexandre Sukhov
We prove an analogue of the Brody lemma in the framework of Riemannian manifolds. We also present new examples of Riemannian manifolds that are hyperbolic in the sense of Kobayashi…
math.CV2025
Kobayashi hyperbolicity in Riemannian manifolds
Hervé Gaussier, Alexandre Sukhov
We study the boundary behavior of the Kobayashi-Royden metric and the Kobayashi hyperbolicity of domains in Riemannian manifolds. As an application, we prove a Fatou type theorem o…