Calculus of Variations and Partial Differential Equations

, Volume 4, Issue 5, pp 469-496

First online:

Embedded minimal surfaces: Forces, topology and symmetries

  • Antonio RosAffiliated withDepartamento de Geometria y Topologia, Facultad de Ciencias, Universidad de Granada

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We prove topological uniqueness theorems for embedded minimal surfaces in ℝ3 under the assumption that certain forces associated to these surfaces are vertical. We give applications to minimal surfaces with symmetries and with free boundary.

Mathematics Subject Classification