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math.CV2005★ 3 cited
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 extends as a map to $ \bar \om_1$. We th…
math.CV2002
A local extension theorem for proper holomorphic mappings in C^2
Rasul Shafikov, Kaushal Verma
Let f be a proper holomorphic mapping between bounded domains D and D' in C^2. Let M, M' be open pieces on the boundaries of D and D' respectively, that are smooth, real analytic a…