The Kobayashi balls of C-convex domains

Abstract

A pure geometric description of the Kobayashi balls of C-convex domains is given in terms of the so-called minimal basis.

v2: Proposition 3 (iii) is improved - the Lempert function is replaced by the Kobayashi metric

Cited by in corpus (5)

• Bergman kernel and hyperconvexity index
• Gromov (non)hyperbolicity of certain domains in ${\mathbb{C}}^2$
• Sharp pointwise and uniform estimates for $\bar{\partial }$
• Strongly Goldilocks Domains, quantitative Visibility, and Applications
• On non-visibility of Kobayashi geodesics and the geometry of the boundary