Photo from archive.org
We prove that every bounded smooth domain of finite D’Angelo type in $${\mathbb {C}}^2$$ C 2 endowed with the Kobayashi distance is Gromov hyperbolic and its Gromov boundary is canonically… Click to show full abstract
We prove that every bounded smooth domain of finite D’Angelo type in $${\mathbb {C}}^2$$ C 2 endowed with the Kobayashi distance is Gromov hyperbolic and its Gromov boundary is canonically homeomorphic to the Euclidean boundary. We also show that any domain in $${\mathbb {C}}^2$$ C 2 endowed with the Kobayashi distance is Gromov hyperbolic provided there exists a sequence of automorphisms that converges to a smooth boundary point of finite D’Angelo type.
Keywords:
finite type;
type domains;
pseudoconvex finite;
gromov hyperbolicity;
type;
hyperbolicity pseudoconvex
Journal Title: Mathematische Annalen
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematische Annalen
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!