Precise estimates for certain distances in \R^d
Abstract
We provide sharp estimates for the intrinsic distances of Finsler metrics with precise boundary estimates. These metrics include the Kobayashi-Hilbert metric near strongly convex points, the minimal metric near convex and strongly minimally convex points, and the $k$-quasi hyperbolic metric in $k$-strongly convex domains. Finally, we prove a characterization result in convex geometry for the $k$-quasi hyperbolic metric.
Fields of Study & Subjects
Mathematical Approximation and Integration
Advanced Harmonic Analysis Research
Mathematical functions and polynomials
Publication details
- Journal / source
- ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
- Publisher
- Scuola Normale Superiore - Edizioni della Normale
- Pages
- 22–22
- Publication date
- 12 January 2026