Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method

DOI10.1590/S0001-37652002000100002zbMath1009.53045MaRDI QIDQ4551766

Levi Lopes de Lima, Pedro Roitman

Publication date: 4 April 2003

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

3-dimensional hyperbolic spaceWeierstrass representation formulasurfaces of constant mean curvaturealgebraic representation formulacongruences of spheresrolling of pairs of isometric surface

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) Surfaces in Euclidean and related spaces (53A05)

Related Items

On small-type formulae for curves in PSL\((2, \mathbb C)\), Ribaucour coordinates, Generalized Weingarten surfaces of harmonic type in hyperbolic 3-space, Flat surfaces in hyperbolic space as normal surfaces to a congruence of geodesics, Meromorphic data for mean curvature one surfaces in hyperbolic three-space, ON THE SYMMETRY OF ANNULAR BRYANT SURFACE WITH CONSTANT CONTACT ANGLE

Cites Work

• Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space