Least area surfaces can have excess triple points

DOI10.1016/0040-9383(87)90006-1zbMath0636.53011OpenAlexW2094884007MaRDI QIDQ1098112

Robert Gulliver, G. P. Scott

Publication date: 1987

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(87)90006-1

zbMATH Keywords

torustriple pointsmeasure of complexityarea minimizing immersiondouble curvesleast area map

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (9)

Relative isoperimetric inequalities for minimal submanifolds outside a convex set ⋮ On the geometric and topological rigidity of hyperbolic 3-manifolds ⋮ Linear isoperimetric inequalities for free boundary submanifolds in a geodesic ball ⋮ Moving-centre monotonicity formulae for minimal submanifolds and related equations ⋮ On the double curves of least area tori ⋮ Isoperimetric inequalities on minimal submanifolds of space forms ⋮ The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space ⋮ Area bounds for free boundary minimal surfaces in a geodesic ball in the sphere ⋮ A non-existence theorem for stable constant mean curvature hypersurfaces

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