On Lichtenstein’s theorem about globally conformal mappings |
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| Authors: | Stefan Hildebrandt Heiko von der Mosel |
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| Institution: | (1) Mathematisches Institut, Universität Bonn, Beringstraße 1, 53115 Bonn, Germany;(2) Institut für Mathematik, RWTH-Aachen, Templergraben 55, 52062 Aachen, Germany |
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| Abstract: | We present a new variational proof of the well-known fact that every Riemannian metric on a two-dimensional, simply connected domain with boundary can be represented by globally conformal parameters. From this the corresponding result for a metric on S2 is derived.Received: 1 September 2004, Accepted: 13 September 2004, Published online: 10 December 2004Mathematics Subject Classification:
49Q05, 53A10, 53C42 |
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