Article ID Journal Published Year Pages File Type
4614105 Journal of Mathematical Analysis and Applications 2016 14 Pages PDF
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
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