Flat surfaces in the hyperbolic 3-space

From MaRDI portal
Publication:1974127

DOI10.1007/s002080050337zbMath1003.53047OpenAlexW2129318336MaRDI QIDQ1974127

Yanyan Li

Publication date: 15 January 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050337




Related Items (45)

The Cauchy problem for improper affine spheres and the Hessian one equationAsymptotic behavior of flat surfaces in hyperbolic 3-spaceSurfaces and fronts with harmonic-mean curvature one in hyperbolic three-spaceComplete linear Weingarten surfaces of Bryant type. A Plateau problem at infinityIsometric immersions of \(\mathbb L^2\) into \(\mathbb L^4\)On the maximal number of exceptional values of Gauss maps for various classes of surfacesSpinorial representation of submanifolds in Riemannian space formsOn small-type formulae for curves in PSL\((2, \mathbb C)\)Semi-discrete linear Weingarten surfaces with Weierstrass-type representations and their singularitiesConformal geometry of isotropic curves in the complex quadricSurfaces of constant curvature in \(\mathbb R^3\) with isolated singularitiesOn the spinorial representation of spacelike surfaces into 4-dimensional Minkowski spaceSpinorial representation of submanifolds in \(\mathrm{SL}_n(\mathbb{C})/\mathrm{SU}(n)\)Clifford structures, bilegendrian surfaces, and extrinsic curvatureThe duality of conformally flat manifoldsA correspondence for isometric immersions into product spaces and its applicationsValue distribution of the Gauss map of improper affine spheresThe Cauchy problem for indefinite improper affine spheres and their Hessian equationFlat fronts in hyperbolic 3-space with prescribed singularitiesGAUSSIAN CURVATURE AND UNICITY PROBLEM OF GAUSS MAPS OF VARIOUS CLASSES OF SURFACESValue distribution for the Gauss maps of various classes of surfacesA connection between flat fronts in hyperbolic space and minimal surfaces in Euclidean spaceProper holomorphic Legendrian curves in \(\mathrm{SL}_2(\mathbb {C})\)Flat surfaces in hyperbolic space as normal surfaces to a congruence of geodesicsComplete flat surfaces with two isolated singularities in hyperbolic 3-spaceThe Cauchy problem for the Liouville equation and Bryant surfacesOn the generalized Weyl problem for flat metrics in the hyperbolic 3-spaceMarginally trapped surfaces in \(\mathbb L^4\) and an extended Weierstrass-Bryant representationThe Gauss map of surfaces in \(\widetilde{\mathrm {PSL}}_2(\mathbb R)\)Ribaucour transformations for flat surfaces in the hyperbolic 3-spaceLie geometry of flat fronts in hyperbolic spaceIsometric immersions of \({{\mathbb R}^2}\) into \({{\mathbb R}^4}\) and perturbation of Hopf toriWeierstrass-type representationsThe hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-spaceOrientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfacesDualities of differential geometric invariants on cuspidal edges on flat fronts in the hyperbolic space and the De Sitter spaceHyperbolic Schwarz map of the confluent hypergeometric differential equationNew examples of surfaces in H³ with conformal normal Gauss mapDiscrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-spaceDiscrete cyclic systems and circle congruencesEmbedded isolated singularities of flat surfaces in hyperbolic 3-spaceConformal type of ends of revolution in space forms of constant sectional curvatureFlat fronts with polyhedral symmetry in hyperbolic three-spaceNotes on flat fronts in hyperbolic space




This page was built for publication: Flat surfaces in the hyperbolic 3-space