On a Variety of Minimal Surfaces Invariant under a Screw Motion
Vol. 7 (2000), No. 2, Page 311--323.
Moriya, Katsuhiro
On a Variety of Minimal Surfaces Invariant under a Screw Motion
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Abstract:
In this paper, we will prove that a certain class of branched multi-valued minimal surfaces invariant under a translation or a screw motion becomes a real analytic variety via their Weierstrass data. We also prove that the class contains complex analytic variety and give a lower bound of its dimension.
Mathematics Subject Classification (1991): Primary 53A10
Mathematical Reviews Number: MR1768468
Received: 1999-03-23