The geometry of the slice-ribbon problem

DOI10.1017/S030500410006093XzbMath0535.57004OpenAlexW1978993620MaRDI QIDQ3319425

Joel Hass

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410006093x

zbMATH Keywords

Morse functionslice knottotal curvatureminimal diskribbon knotribbon diskruled disk

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) Global submanifolds (53C40)

Related Items

The bridge principle for stable minimal surfaces, A bridge principle for minimal and constant mean curvature submanifolds of \(R^ N\), Triangulating surfaces with bounded energy, Complex plane curves in the ball, Characterizing candidates for Cannon's conjecture from geometric measure theory, Remarks on the minimalities of two-bridge knots in the ribbon concordance poset, Non-slice linear combinations of algebraic knots, On the Asphericity of Ribbon Disc Complements, Cross-sections of unknotted ribbon disks and algebraic curves

Cites Work

• The existence of embedded minimal surfaces and the problem of uniqueness
• On curvature integrals and knots
• On the total curvature of knots
• On the Total Curvature of Immersed Manifolds