On non-visibility of Kobayashi geodesics and the geometry of the boundary
arXiv:2312.04506 · doi:10.1007/s12220-024-01804-5
Abstract
We show that on convex domains with sufficiently smooth boundary the limit set of non-visible Kobayashi geodesics are contained in a complex face. In two dimensions, this implies the existence of a complex tangential line segment of non-Goldilocks points in the boundary. Conversely, we construct sequences of non-visible almost-geodesics on convex domains whose boundary contains a complex tangential line segment of non-Goldilocks points in a specific direction.
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