Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614105 | Journal of Mathematical Analysis and Applications | 2016 | 14 Pages |
Abstract
In this work we give a systemic study of affine translation surfaces in affine 3-dimensional space. Specifically, we obtain the complete classification of minimal affine translation surfaces. Moreover, we consider affine translation surfaces with some natural geometric conditions, such as constant affine mean curvature and constant Gauss–Kronecker curvature. Some characterization results with these geometric conditions are also obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dan Yang, Yu Fu,