We prove topological uniqueness theorems for embedded minimal surfaces in R(3) under the assumption that certain forces associated to these surfaces are vertical. We give applications to minimal surfaces with symmetries and with free boundary.
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Russian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, RussiaRussian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, Russia
Shevchenko, V. Ya.
Sychev, M. M.
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Russian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, RussiaRussian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, Russia
Sychev, M. M.
Lapshin, A. E.
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Russian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, RussiaRussian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, Russia
Lapshin, A. E.
Lebedev, L. A.
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Russian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, RussiaRussian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, Russia
Lebedev, L. A.
Gruzdkov, A. A.
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St Petersburg State Technol Inst Tech Univ, St Petersburg 190013, RussiaRussian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, Russia
Gruzdkov, A. A.
Glezer, A. M.
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Kurdyumov Inst Met Sci & Phys Met, Moscow 105005, RussiaRussian Acad Sci, Grebenshchikov Inst Silicate Chem, St Petersburg 199034, Russia