Isoperimetric inequalities for special classes of curves

DOI10.1016/j.difgeo.2010.12.005zbMath1218.53005OpenAlexW1993356098WikidataQ115357011 ScholiaQ115357011MaRDI QIDQ531708

Bernd Süssmann

Publication date: 19 April 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.12.005

zbMATH Keywords

isoperimetric inequalitieswinding numberBanchoff-Pohl inequalitycurve shorteninghomothetic solutions

Mathematics Subject Classification ID

Related Items (4)

Length-preserving evolution of immersed closed curves and the isoperimetric inequality ⋮ On the isoperimetric inequality and surface diffusion flow for multiply winding curves ⋮ The reverse isoperimetric inequality for convex plane curves through a length-preserving flow ⋮ Unnamed Item

Cites Work

• The normalized curve shortening flow and homothetic solutions
• Curve shortening flow and the Banchoff-Pohl inequality on surfaces of nonpositive curvature
• A generalization of the isoperimetric inequality
• A stable manifold theorem for the curve shortening equation
• Unnamed Item

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