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Shortest geodesics and minimal surfaces.

By: Contributor(s): Publication details: Rio de Janeiro: IMPA, 2015.Description: video onlineSubject(s): Online resources:
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Tubes about short geodesics can be used as barriers to produce multiple minimal surfaces in isotopy classes and minimal surfaces with unusual topological properties. In work of Minsky, Namazi, Souto etc, global properties of hyperbolic 3-manifolds are given. An interesting challenge is to relate this to behaviour of minimal surfaces. Tubes give a first step in this direction .
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Tubes about short geodesics can be used as barriers to produce multiple minimal surfaces in isotopy classes and minimal surfaces with unusual topological properties. In work of Minsky, Namazi, Souto etc, global properties of hyperbolic 3-manifolds are given. An interesting challenge is to relate this to behaviour of minimal surfaces. Tubes give a first step in this direction .

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