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Algebraic constant mean curvature surfaces in Euclidean space by Perdomo, Oscar M. is a scholarly article available to read on EtoBox.

What is Algebraic constant mean curvature surfaces in Euclidean space about?

In this paper 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 Groebner 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 in the Euclidean space completely reduces to the problem of solving a system of polynomial equations.

Author

Perdomo, Oscar M.

Published

2010

Language

EN