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      Curvature estimates for constant mean curvature surfaces

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          Abstract

          We derive intrinsic curvature and radius estimates for compact disks embedded in \(\mathbb R^3\) with nonzero constant mean curvature and apply these estimates to study the global geometry of complete surfaces embedded in \(\mathbb R^3\) with nonzero constant mean curvature.

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          Author and article information

          Journal
          2015-02-21
          2015-11-03
          Article
          1502.06110
          f3296817-7d07-4446-849a-13cd8597e9b5

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          53A10
          Minor corrections. References updated. Format changed
          math.DG

          Geometry & Topology
          Geometry & Topology

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