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Keywords = Enneper maximal surface

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12 pages, 1517 KB

Open AccessArticle

by Erhan Güler

Axioms 2022, 11(1), 4; https://doi.org/10.3390/axioms11010004 - 22 Dec 2021

Cited by 5 | Viewed by 4089

We consider the Enneper family of real maximal surfaces via Weierstrass data

(1, ζ^{m})

for

ζ \in C

m \in Z_{\geq 1}

. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space [...] Read more.

We consider the Enneper family of real maximal surfaces via Weierstrass data

(1, ζ^{m})

for

ζ \in C

m \in Z_{\geq 1}

. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space

E^{2, 1}

. Moreover, we propose that the family has degree

{(2 m + 1)}^{2}

(resp., class

2 m (2 m + 1)

) in the cartesian coordinates

x, y, z

(resp., in the inhomogeneous tangential coordinates

a, b, c

). Full article

(This article belongs to the Special Issue Applications of Differential Geometry II)

Search Results (1)