Discretizations of surfaces with constant ratio of principal curvatures

DOI10.1007/s00454-019-00098-7zbMath1436.52016OpenAlexW2944428922WikidataQ127896729 ScholiaQ127896729MaRDI QIDQ1985300

Yanyan Li

Publication date: 7 April 2020

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-019-00098-7

zbMATH Keywords

discrete differential geometryWeingarten surfaceconjugate netasymptotic netbending rectangular stripsChristoffel-type transformationsupport structure

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Mixed volumes and related topics in convex geometry (52A39) Polyhedral manifolds (52B70) Synthetic differential geometry (51K10) Other special differential geometries (53A40)

Related Items (4)

Characteristic parameterizations of surfaces with a constant ratio of principal curvatures ⋮ Polyhedral Transformation Based on Confocal Quadratic Surface Properties. Graphical Speculations ⋮ Helical surfaces with a constant ratio of principal curvatures ⋮ Rotational Weingarten surfaces in hyperbolic 3-space

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