On the Existence of Global Tchebychev Nets

DOI10.2307/2154907zbMath0820.58055OpenAlexW4242203121MaRDI QIDQ4318467

W. P. Dayawansa, Sandra Lee Samelson

Publication date: 11 September 1995

Full work available at URL: https://doi.org/10.2307/2154907

zbMATH Keywords

complete surfacesChebyshev netservants equation

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Hyperbolic equations on manifolds (58J45)

Related Items (4)

Existence of global Chebyshev nets on surfaces of absolute Gaussian curvature less than \(2\pi\) ⋮ Curvature, metric and parametrization of origami tessellations: theory and application to the eggbox pattern ⋮ Remarks on Chebyshev coordinates ⋮ DRAPING WOVEN SHEETS

Cites Work

• The deformation of a membrane formed by inextensible cords
• Unique solvability of the Cauchy problem for the equations of the two- dimensional relativistic chiral fields, taking values in complete Riemann manifolds
• Global Tchebychev nets on complete two-dimensional Riemannian surfaces
• Tchebychev nets on spheres
• PLANE TRACTION PROBLEMS FOR INEXTENSIBLE NETWORKS

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