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math.CV 1

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2026 1

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Revisiting Kobayashi hyperbolicity on planar domains

math.CV · 2026-04-21 · unverdicted · novelty 5.0

New elementary proofs establish complete Kobayashi hyperbolicity for the twice-punctured plane and bounded planar domains without using the disk cover or negative curvature, with applications to Picard-type theorems and a Hahn-inspired characterization.

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  • Revisiting Kobayashi hyperbolicity on planar domains math.CV · 2026-04-21 · unverdicted · none · ref 35

    New elementary proofs establish complete Kobayashi hyperbolicity for the twice-punctured plane and bounded planar domains without using the disk cover or negative curvature, with applications to Picard-type theorems and a Hahn-inspired characterization.