On the generalized Weyl problem for flat metrics in the hyperbolic 3-space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Galvez, Jose A.¹  Martinez, Antonio¹  Teruel, Jose L.¹ 

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

关键词: Weyl's problem;    Complete flat surfaces;    Isolated singularities;    Hyperbolic 3-space;   

DOI  :  10.1016/j.jmaa.2013.08.019

来源: Elsevier

【 摘 要 】

The paper deals with the study of complete embedded flat surfaces in H-3 with a finite number of isolated singularities. We give a detailed information about its topology, conformal type and metric properties. We show how to solve the generalized Weyl's problem of realizing isometrically any complete flat metric with Euclidean singularities in H-3 which gives the existence of complete embedded flat surfaces with a finite arbitrary number of isolated singularities. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free