Holomorphic Maps Which Preserve Intrinsic Metrics or Measures
Holomorphic Maps Which Preserve Intrinsic Metrics or Measures
Suppose that $M$ is a domain in a taut complex manifold $Mâ$, and that $\Omega$ is a strictly convex bounded domain in ${{\mathbf {C}}^n}$. We consider the following question: given a holomorphic map $F:M \to \Omega$ which is an isometry for the infinitesimal Kobayashi metric at one point, must $F$ …