Article Dans Une Revue The Journal of Geometric Analysis Année : 2024

On Non-visibility of Kobayashi Geodesics and the Geometry of the Boundary

Résumé

Abstract We show that on convex domains with $$\mathcal {C}^{1,\alpha }$$ C 1 , α -smooth boundary the limit set of non-visible Kobayashi geodesics are contained in a complex face. In $$\mathbb {C}^2$$ C 2 this implies the existence of a complex tangential line segment of non-Goldilocks point in the boundary. Conversely, we construct sequences of non-visible almost-geodesics on ( $$\mathbb {C}$$ C -)convex domains whose boundary contains a complex tangential line segment of non-Goldilocks points in a specific direction.

Dates et versions

hal-04856065 , version 1 (26-12-2024)

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Citer

Ahmed Yekta Ökten. On Non-visibility of Kobayashi Geodesics and the Geometry of the Boundary. The Journal of Geometric Analysis, 2024, 34 (12), pp.371. ⟨10.1007/s12220-024-01804-5⟩. ⟨hal-04856065⟩
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