Surfaces with constant Chebyshev angle. II.

DOI10.3836/tjm/1391177977zbMath1294.30092OpenAlexW4245142788MaRDI QIDQ2444951

Carlos M. C. Riveros, Armando M. V. Corro

Publication date: 11 April 2014

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1391177977

zbMATH Keywords

Liouville equationasymptotic linesChebyshev net

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Riemann surfaces (30F99)

Related Items (7)

Geodesics in minimal surfaces ⋮ Characteristic parameterizations of surfaces with a constant ratio of principal curvatures ⋮ Ribaucour surfaces of harmonic type ⋮ Helical surfaces with a constant ratio of principal curvatures ⋮ Discretizations of surfaces with constant ratio of principal curvatures ⋮ Generalized Weingarten surfaces of harmonic type in hyperbolic 3-space ⋮ Generalized spherical type hypersurfaces

Cites Work

• Uniqueness and globality of the Liouville formula for entire solutions of \(\frac{\partial^2\log\lambda}{\partial z\partial\overline z} + \frac\lambda2=0\)
• Liouville's formula under the viewpoint of minimal surfaces
• Liouville's formula in arbitrary planar domains
• Bianchi surfaces with constant Chebyshev angle
• Surfaces with constant Chebyshev angle

This page was built for publication: Surfaces with constant Chebyshev angle. II.