Distances invariantes et points fixes d'applications holomorphes

Details Distances invariantes et points fixes d'applications holomorphes Distances invariantes et points fixes d'applications holomorphes

2011-05-10

arxiv.org/abs/1105.1874v1

Mathematics

Complex Variables

Scientific paper

In this paper, we prove the following result : let X be a complex manifold,
hyperbolic for the Carath\'eodory distance and let U be an open set relatively
compact in X. Then, there exists k<1 such that we get, for the Carath\'eodory
infinitesimal metric E_X(x,v) less or equal to kE_U(x,v). We also get results
concerning fixed points of holomorphic mappings from X to U.

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