Abstract
Using classical methods and solving certain differential equations we classify a kind of new surface, affine translation surfaces, which has the non-zero constant mean curvature in three dimensional Euclidean space \({{\bf E}^3}\). Therefore a kind of solutions for the constant mean curvature equation is given.
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H. Liu: Supported by NSFC (No. 11371080); Joint Research of NSFC and NRF; partially supported by the Chern Institute of Mathematics and Northeastern University. Seoung Dal Jung: Supported by NRF-2015R1A2A2A01003491.
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Liu, H., Jung, S.D. Affine translation surfaces with constant mean curvature in Euclidean 3-space. J. Geom. 108, 423–428 (2017). https://doi.org/10.1007/s00022-016-0348-9
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DOI: https://doi.org/10.1007/s00022-016-0348-9