On the holomorphicity of isometries of intrinsic metrics in complex analysis

Harish Seshadri, Kaushal Verma

Let $\1$ and $\2$ be $\s$ domains in $\Cn$ and $f: \1 \rt \2$ an isometry for the Kobayashi or Carathéodory metrics. Suppose that $f$ extends as a $C^1$ map to $ \bar \om_1$. We th…