19 citations · 55 across the 32 of their papers we have counts for
38 papers
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 metrics…
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…
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…
Smooth equivalence of families of strongly pseudoconvex domains
Hervé Gaussier, Xianghong Gong, Andrew Zimmer
We establish a smoothness result for families of biholomorphisms between smooth families of strongly pseudoconvex domains, each with trivial biholomorphism group. This is accomplis…
A counterexample to parabolic dichotomies in holomorphic iteration
Leandro Arosio, Filippo Bracci, Herv/'e Gaussier
We give an example of a parabolic holomorphic self-map of the unit ball whose canonical Kobayashi hyperbolic semi-model is given by an elliptic…
On the Kobayashi metrics on Riemannian manifolds
Hervé Gaussier, Alexandre Sukhov
We introduce an analog of the Kobayashi-Royden metric on a Riemannian manifold and study its basic properties.