Hyperbolic Extensions and Metrics $\epsilon$-Close to Hyperbolic
Pedro Ontaneda
TL;DR
This paper introduces hyperbolic extensions and metrics that are approximately hyperbolic within an epsilon margin, providing new tools for geometric analysis.
Contribution
It defines and investigates hyperbolic extensions and metrics that are epsilon-close to true hyperbolic geometry.
Findings
Hyperbolic extensions are formally defined and characterized.
Metrics epsilon-close to hyperbolic are constructed and analyzed.
Potential applications in geometric analysis are discussed.
Abstract
We define and study hyperbolic extensions.
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Taxonomy
TopicsMathematics and Applications · Geometric and Algebraic Topology · Algebraic Geometry and Number Theory