Complete Laguerre minimal surfaces in R3

被引：2
|
作者：
Aledo, Juan A. [1 ]
Galvez, Jose A. [2 ]
Lozano, Victorino [3 ]
机构：
[1] Univ Castilla La Mancha, Dept Matemat, E-02071 Albacete, Spain
[2] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain
[3] IES Miguel Cervantes, E-13600 Ciudad Real, Spain
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 92卷
关键词：
Complete Laguerre minimal surfaces; Flat Laguerre minimal surfaces; Conformal representation; Bjorling problem; CAUCHY-PROBLEM; GEOMETRY;
D O I：
10.1016/j.na.2013.06.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study from a global point of view the Laguerre minimal surfaces in R-3. In particular, we generalize in a natural way the class of Laguerre minimal surfaces (introducing what we call Generalized Laguerre minimal surfaces) and obtain a conformal representation formula for this new class of surfaces. Besides, we study the completeness of the Laguerre metric and classify the flat Laguerre minimal surfaces. Finally, we solve the Bjorling problem for Generalized Laguerre minimal surfaces and, as an application, we classify the rotational ones. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：1 / 12
页数：12
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