Properties and examples of Kobayashi hyperbolic Riemannian manifolds
Complex Variables
2025-09-09 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.2509.06802,
title = {Properties and examples of Kobayashi hyperbolic Riemannian manifolds},
author = {Hervé Gaussier and Alexandre Sukhov},
journal= {arXiv preprint arXiv:2509.06802},
year = {2025}
}