Family of Enneper Minimal Surfaces

Abstract

We consider a family of higher degree Enneper minimal surface E m for positive integers m in the three-dimensional Euclidean space E 3 . We compute algebraic equation, degree and integral free representation of Enneper minimal surface for m = 1 , 2 , 3 . Finally, we give some results and relations for the family E m .

Keywords

• Enneper minimal surface family
• Weierstrass representation
• algebraic surface
• degree
• integral free representation