An Extension of the Affine Bernstein Problem

被引：0
|
作者：
Aledo, Juan A. [1 ]
Martinez, Antonio [2 ]
Milan, Francisco [2 ]
机构：
[1] Univ Castilla La Mancha, Dept Matemat ESI Informat, Albacete 02071, Spain
[2] Univ Granada, Fac Ciencias, Dept Geometria & Topol, E-18071 Granada, Spain
来源：
RESULTS IN MATHEMATICS | 2011年 / 60卷 / 1-4期
关键词：
Affine area; maximal surfaces; affine Bernstein problem; singular set; SINGULARITIES; SPHERES;
D O I：
10.1007/s00025-011-0181-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we study a class of affine maximal surfaces with singularities that we call affine maximal maps. Our main goal is the classification of the complete affine maximal maps with one or two embedded regular ends. In particular, we obtain a new characterization of the elliptic paraboloid and a large family of global examples.
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页码：157 / 174
页数：18
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