The Algebraic Surfaces of the Enneper Family of Maximal Surfaces in Three Dimensional Minkowski Space
Keyword(s):
We consider the Enneper family of real maximal surfaces via Weierstrass data (1,ζm) for ζ∈C, m∈Z≥1. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space E2,1. Moreover, we propose that the family has degree (2m+1)2 (resp., class 2m(2m+1)) in the cartesian coordinates x,y,z (resp., in the inhomogeneous tangential coordinates a,b,c).
2016 ◽
Vol 15
(2)
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pp. 155-169
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Keyword(s):
1983 ◽
Vol 06
(2)
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pp. 297-309
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Keyword(s):
2017 ◽
Vol 14
(05)
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pp. 1750069