2011/07/01 by Francisco Martín, Francisco Martin, Martin, Francisco +4
Mathematics · #53A1 #53A10 #53A35 #53D10 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53A1 #msc:53A10 #msc:53A35 #msc:53D10
paper · pdf · doi:10.48550/arxiv.1107.0106
After the submission, the authors found that the proof of the main theorem contains a serious error and the main theorem turns to be an open problem. ArXiv:1205.4779 is a new paper showing the existence of a weakly complete flat surface (with singularities) in hyperbolic 3-space such that the images of the hyperbolic Gauss maps are bounded, which plays a role of a recovery of the present paper
openalex publication_date 2011/07/01 · arxiv created 2012/05/23 · arxiv updated 2012/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a complete, bounded Legendrian immersion in C3. As direct applications of it, we show the first examples of a weakly complete bounded flat front in hyperbolic 3-space, a weakly complete bounded flat front in de Sitter 3-space, and a weakly complete bounded improper affine front in R3.