Remarks on the isoperimetric inequality for multiply-connected H- surfaces

DOI10.1007/BF01111710zbMath0242.53001MaRDI QIDQ2554179

Helmut Kaul

Publication date: 1972

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

Full work available at URL: https://eudml.org/doc/171805

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Inequalities and extremum problems involving convexity in convex geometry (52A40) Surfaces in Euclidean and related spaces (53A05)

Related Items

Maximum principles and nonexistence results for minimal submanifolds, The Nitsche conjecture, Doubly connected minimal surfaces and extremal harmonic mappings, Doubly-connected minimal surfaces, The discrete Plateau Problem: Algorithm and numerics

Cites Work

• The isoperimetric inequality for multiply-connected minimal surfaces
• Isoperimetric inequality and the Gauss-Bonnet-formula for H-planes in Riemannian manifolds
• Maximum principles for minimal surfaces and for surfaces of continuous mean curvature