(ζ−m, ζm)-Type Algebraic Minimal Surfaces in Three-Dimensional Euclidean Space
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We introduce the real minimal surfaces family by using the Weierstrass data (ζ−m,ζm) for ζ∈C, m∈Z≥2, then compute the irreducible algebraic surfaces of the surfaces family in three-dimensional Euclidean space E3. In addition, we propose that family has a degree number (resp., class number) 2m(m+1) in the cartesian coordinates x,y,z (resp., in the inhomogeneous tangential coordinates a,b,c).
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2014 ◽
Vol 70
(4)
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pp. 319-337
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2008 ◽
Vol 17
(4)
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pp. 619-625
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1956 ◽
Vol 8
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pp. 256-262
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1993 ◽
Vol 304
(3-4)
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pp. 256-262
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