Family of Enneper Minimal Surfaces

Erhan Güler
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Erhan Güler: Department of Mathematics, Faculty of Sciences, Bartın University, Bartın 74100, Turkey

Mathematics, 2018, vol. 6, issue 12, 1-8

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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