On the holomorphicity of isometries of intrinsic metrics in complex analysis - Bangalore: Department of Mathematics, Indian Institute of Science: 2006 - Let Ω1 and Ω2 be strongly pseudoconvex domains in Cn and f : Ω1 → Ω2 an isometry for the Kobayashi or Carath´eodory metrics. Suppose that f extends as a C1 map to Ω¯ 1. We then prove that f|∂Ω1 : ∂Ω1 → ∂Ω2 is a CR or anti-CR diffeomorphism. It follows tha

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