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Geometry and Numerics of CMC Surfaces with Radial Metrics

Gabriel dos Reis 1 
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis (1965 - 2019), CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : Thsi paper investigates the geometry of non-zero constant mean curvature surfaces with radial metric, putting an emphasis on the link between the Hopf differential and the extrinsic geometry. New asymptotic estimations of the metrics are given at the umbilical point and at infinity. The last section proposes an algorithm for numerical constructions.
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Submitted on : Tuesday, May 23, 2006 - 6:53:59 PM
Last modification on : Saturday, June 25, 2022 - 10:56:45 PM
Long-term archiving on: : Sunday, April 4, 2010 - 8:21:59 PM


  • HAL Id : inria-00071823, version 1


Gabriel dos Reis. Geometry and Numerics of CMC Surfaces with Radial Metrics. RR-4763, INRIA. 2003. ⟨inria-00071823⟩



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