## Isometries for the Caratheodory Metric

##### Authors
Abate, Marco
Vigue, Jean-Pierre
##### Description
Under certain hypothesises, we prove that a map which is an isometry for the Caratheodory infinitesimal metric at a point is an analytic isomorphism onto its image.
Comment: 6 pages
##### Keywords
Mathematics - Functional Analysis, Mathematics - Complex Variables, 32H99