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Non-existence of regular algebraic minimal surfaces of spheres of degree 3

Authors:	Oscar Perdomo

Affiliation:	(1) Facultad de Ciencias, Departamento de Matemáticas, Universidad del Valle, A. A. 25 360 Cali, Colombia

Abstract:	In this paper we prove that if $M subset S^{3}$ is a closed minimal surface, then, $M ne S^{3} cap f^{{ - 1}} (0)$ , for any homogeneous polynomial f of degree 3 with 0 a regular value of the function $f\| {_{{S^{3} }} :S^{3} to { bf R}} .$ .

Keywords:	53C42 53A10
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