Algebraic surfaces of the laplace-beltrami operators of the TF-type surfaces

Abstract

We study on a new kind of surface covered by translation and factorable (TF-type) surfaces in the three dimensional Euclidean space. We calculate I and III Laplace-Beltrami operator surfaces of a TF-type surface. Then we obtain degrees and classes of the Laplace-Beltrami operator surfaces using eliminate methods on software programme.