Existence result for minimal hypersurfaces with a prescribed finite number of planar ends

DOI10.1007/PL00005863zbMath0992.53011OpenAlexW2065792993MaRDI QIDQ5928173

Frank Pacard, Saadia Fakhi

Publication date: 10 September 2002

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00005863

zbMATH Keywords

\(k\) planar endsfinite total curvatureminimal hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Fixed-point theorems (47H10) Surfaces in Euclidean and related spaces (53A05)

Related Items (7)

Higher genus Riemann minimal surfaces ⋮ Blowing up and desingularizing constant scalar curvature Kähler manifolds ⋮ End-to-end gluing of constant mean curvature hypersurfaces ⋮ Free boundary minimal surfaces in the unit ball with low cohomogeneity ⋮ New \(r\)-minimal hypersurfaces via perturbative methods ⋮ A Costa-Hoffman-Meeks type surface in $\mathbb H^{2} \times\mathbb R $ ⋮ Higher-dimensional Scherk's hypersurfaces.

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