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October 12, 2025Open Access

Properties and examples of Kobayashi hyperbolic Riemannian manifolds

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The research establishes an analogue of the Brody lemma within Riemannian manifolds, enhancing existing frameworks.
New examples of hyperbolic Riemannian manifolds are introduced, expanding the mathematical landscape of such structures.
This work explores the connections between the Brody lemma and hyperbolic properties in Riemannian geometry.
Findings may lead to further applications in the understanding of complex geometric structures and their properties.

Implication

New examples of Kobayashi hyperbolic manifolds are presented, with implications for the Brody lemma in Riemannian spaces.

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.

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Cite This Study

Gaussier et al. (2025) studied this question.

synapsesocial.com/papers/68ec1be02b8fa9b2b78ad277 https://doi.org/10.48550/arxiv.2509.06802

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Implication

New examples of Kobayashi hyperbolic manifolds are presented, with implications for the Brody lemma in Riemannian spaces.

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.

Properties and examples of Kobayashi hyperbolic Riemannian manifolds

Key Points

Implication

Abstract

Discussion

Cite This Study

Properties and examples of Kobayashi hyperbolic Riemannian manifolds

Key Points

Implication

Abstract

Discussion

Cite This Study

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