Properties and examples of Kobayashi hyperbolic Riemannian manifolds

Fuente: arXiv
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Auteurs principaux: Gaussier, Hervé, Sukhov, Alexandre
Format: Preprint
Publié: 2025
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author Gaussier, Hervé
Sukhov, Alexandre
author_facet Gaussier, Hervé
Sukhov, Alexandre
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_06802
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Properties and examples of Kobayashi hyperbolic Riemannian manifolds
Gaussier, Hervé
Sukhov, Alexandre
Complex Variables
Differential Geometry
32F45, 32Q45, 53A10, 53C15
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.
title Properties and examples of Kobayashi hyperbolic Riemannian manifolds
topic Complex Variables
Differential Geometry
32F45, 32Q45, 53A10, 53C15
url https://arxiv.org/abs/2509.06802