Classification of j-maximal spacelike affine translation surfaces in the Minkovski space i31 with density

Tran Le Nam

Tóm tắt


An affine translation surface is a graph of a function   introduced by Liu and Yu in 2013. The article considers the spacelike affine translation surfaces in the Minkowski space  with density  establishing the Lagrange’s equation type for -maximal surface, classifying -maximal spacelike affine translation surfaces. The result obtains two parameters and . From that, the Calabi – Bernstein theorem in this space is not true because two function  and  are defined on  


Từ khóa


j-maximal, density, affine translation surface, Lagrange’s equation

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DOI: https://doi.org/10.54607/hcmue.js.15.3.140(2018)

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