Sufficient conditions for constant mean curvature surfaces to be round

DOI10.1007/s002080100300zbMath1016.53007OpenAlexW2093228106MaRDI QIDQ697376

Jaigyoung Choe

Publication date: 17 September 2002

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080100300

zbMATH Keywords

constant mean curvatureHopf's theoremcapillary surfacerotation index

Mathematics Subject Classification ID

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

Related Items (9)

Remarks on the boundary curve of a constant mean curvature topological disc ⋮ Capillary immersions in \(\mathbb {E}(\kappa , \tau )\) ⋮ Characterization of \(f\)-extremal disks ⋮ Capillary surfaces in a convex cone ⋮ Unnamed Item ⋮ Integral formula of Minkowski type and new characterization of the Wulff shape ⋮ Minimal annuli with constant contact angle along the planar boundaries ⋮ A Hopf theorem for open surfaces in product spaces ⋮ SPACELIKE CAPILLARY SURFACES IN THE LORENTZ–MINKOWSKI SPACE

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