Details:
Title  Algebraic constant mean curvature surfaces in Euclidean space.  Author(s)  Oscar M. Perdomo  Type  Article in Journal  Abstract  We prove that the only algebraic constant mean curvature (cmc) surfaces in R 3 of order
less than four are the planes, the spheres and the cylinders. The method used, heavily depends on the
efficiency of algorithms to compute Gröbner bases and also on the memory capacity of the computer
used to do the computations. We will also prove, that the problem of finding algebraic constant mean
curvature hypersurfaces  Keywords  constant mean curvature; algebraic surfaces; Gröbner bases  ISSN  03621588 
Language  English  Journal  Houston J. Math.  Volume  39  Number  1  Pages  127136  Publisher  University of Houston, Department of Mathematics, Houston, TX  Year  2013  Edition  0  Translation 
No  Refereed 
No 
