3 papers
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.CV2024
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…
math.CV2020
Holomorphic mappings between domains with low boundary regularity
Alexandre Sukhov
We study proper holomorphic mappings between strictly pseudoconvex domains with low boundary regularity.