We prove that the group of continuous isometries for the Kobayashi or Caratheodory metrics of a strongly convex domain in C-n is compact unless the domain is biholomorphic to the ball. A key ingredient, proved using differential geometric ideas, is that a continuous isometry between a strongly convex domain and the ball has to be biholomorphic or anti-biholomorphic. Combining this with a metric version of Pinchuk's rescaling technique gives the main result
We show that if $K$ is a compact metrizable space with finitely many accumulation points, then the c...
We show that if $K$ is a compact metrizable space with finitely many accumulation points, then the c...
We show that if $K$ is a compact metrizable space with finitely many accumulation points, then the c...
We prove that the group of continuous isometries for the Kobayashi or Caratheodory metrics of a stro...
This article considers C-1-smooth isometries of the Kobayashi and Caratheodory metrics on domains in...
This article considers C-1-smooth isometries of the Kobayashi and Caratheodory metrics on domains in...
Let Ω1 and Ω2 be strongly pseudoconvex domains in Cn and f:Ω1 → Ω2 an isometry for the Kobayas...
It is generally believed that (up to biholomorphism) very few domains have a large automorphism grou...
It is generally believed that (up to biholomorphism) very few domains have a large automorphism grou...
Let \Omega(1) and \Omega(2) be strongly pseudoconvex domains in C-n and f : \Omega(1) --> \Omega(2) ...
Let \Omega(1) and \Omega(2) be strongly pseudoconvex domains in C-n and f : \Omega(1) --> \Omega(2) ...
The purpose of this article is to consider two themes, both of which emanate from and involve the Ko...
We prove that every isometry from the unit disk Delta in , endowed with the Poincar, distance, to a ...
We prove that every isometry from the unit disk Delta in , endowed with the Poincar, distance, to a ...
Abstract. In the present paper we study conditions under which the group of isometries on a locally ...
We show that if $K$ is a compact metrizable space with finitely many accumulation points, then the c...
We show that if $K$ is a compact metrizable space with finitely many accumulation points, then the c...
We show that if $K$ is a compact metrizable space with finitely many accumulation points, then the c...
We prove that the group of continuous isometries for the Kobayashi or Caratheodory metrics of a stro...
This article considers C-1-smooth isometries of the Kobayashi and Caratheodory metrics on domains in...
This article considers C-1-smooth isometries of the Kobayashi and Caratheodory metrics on domains in...
Let Ω1 and Ω2 be strongly pseudoconvex domains in Cn and f:Ω1 → Ω2 an isometry for the Kobayas...
It is generally believed that (up to biholomorphism) very few domains have a large automorphism grou...
It is generally believed that (up to biholomorphism) very few domains have a large automorphism grou...
Let \Omega(1) and \Omega(2) be strongly pseudoconvex domains in C-n and f : \Omega(1) --> \Omega(2) ...
Let \Omega(1) and \Omega(2) be strongly pseudoconvex domains in C-n and f : \Omega(1) --> \Omega(2) ...
The purpose of this article is to consider two themes, both of which emanate from and involve the Ko...
We prove that every isometry from the unit disk Delta in , endowed with the Poincar, distance, to a ...
We prove that every isometry from the unit disk Delta in , endowed with the Poincar, distance, to a ...
Abstract. In the present paper we study conditions under which the group of isometries on a locally ...
We show that if $K$ is a compact metrizable space with finitely many accumulation points, then the c...
We show that if $K$ is a compact metrizable space with finitely many accumulation points, then the c...
We show that if $K$ is a compact metrizable space with finitely many accumulation points, then the c...