Seshadri, Harish ; Verma, Kaushal (2006) On isometries of the Caratheodory and Kobayashi metrics on strongly pseudoconvex domains Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 5 (3). pp. 393-417. ISSN 0391-173X
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Official URL: http://www.numdam.org/item/ASNSP_2006_5_5_3_393_0
Abstract
Let Ω1 and Ω2 be strongly pseudoconvex domains in Cn and f:Ω1 → Ω2 an isometry for the Kobayashi or Caratheodory metrics. Suppose that f extends as a C1 map to ¯Ω1. We then prove that f|∂Ω1 : ∂Ω1 → ∂Ω2 is a CR or anti-CR diffeomorphism. It follows that Ω1 and Ω2 must be biholomorphic or anti-biholomorphic.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to NUMDAM (Numerisation de Documents Anciens Mathematiques). |
| ID Code: | 108094 |
| Deposited On: | 01 Feb 2018 11:29 |
| Last Modified: | 01 Feb 2018 11:29 |
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