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Uniqueness theorems for minimal surfaces

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Publication:1157787
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zbMath0472.53009MaRDI QIDQ1157787

William Hamilton III Meeks

Publication date: 1981

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

uniqueness theoremsJordan curveboundary curve


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)


Related Items (10)

A survey of the geometric results in the classical theory of minimal surfaces ⋮ On Plateau's problem for minimal surfaces of higher genus in ${\mathbf{R}}^3 $ ⋮ A variational approach to the existence of complete embedded minimal surfaces ⋮ The Plateau-Douglas problem for singular configurations and in general metric spaces ⋮ The existence of embedded minimal surfaces and the problem of uniqueness ⋮ Limits of minimal surfaces and Scherk's fifth surface ⋮ Absolute uniqueness of minimal surfaces bounded by contours with a one-to-one projection onto a plane ⋮ The geometry of stable minimal surfaces in metric Lie groups ⋮ A uniqueness theorem for minimal surfaces in \(S^ 3\) ⋮ New characterizations of the helicoid in a cylinder




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