Properties and examples of Kobayashi hyperbolic Riemannian manifolds
Key Points
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.
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.