The Cauchy problem for Liouville equation and Bryant surfaces

Simple item page
dc.creatorGalvez, Jose A.
dc.creatorMira, Pablo
dc.date2003-10-07
dc.date.accessioned2026-07-07T05:01:41Z
dc.date.available2026-07-07T05:01:41Z
dc.descriptionWe give a construction that connects the Cauchy problem for Liouville elliptic equation with a certain initial value problem for mean curvature one surfaces in hyperbolic 3-space H3, and solve both of them. We construct the only mean curvature one surface in H3 that passes through a given curve with given unit normal along it, and provide diverse applications. In particular, topics like period problems, symmetries, finite total curvature, planar geodesics, rigidity, etc. of surfaces are treated.
dc.description34 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0310092
dc.identifierhttp://arxiv.org/abs/math/0310092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68767
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A10; 53J15
dc.titleThe Cauchy problem for Liouville equation and Bryant surfaces
dc.typetext

Files

Collections

arXiv