# Invariant distances and metrics in complex analysis

@inproceedings{Isaev2000InvariantDA, title={Invariant distances and metrics in complex analysis}, author={Alexander V. Isaev and Steven G. Krantz}, year={2000} }

C onstructing a distance that is invariant under a given class of mappings is one of the fundamental tools for the geometric approach in mathematics. The idea goes back to Klein and even to Riemann. In this article we will consider distances invariant under biholomorphic mappings of complex manifolds. There will be many such distances. A number of these will come from functions on the tangent spaces, in the way that a Riemannian metric on a manifold yields a distance on the manifold. Following…

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