Tohoku Mathematical Journal
2004

June
SECOND SERIES VOL. 56, NO. 2

Tohoku Math. J.
56 (2004), 237-254

Title NONCONGRUENT MINIMAL SURFACES WITH THE SAME SYMMETRIES AND CONFORMAL STRUCTURE

Author Valério Ramos Batista

(Received September 24, 2002, revised June 3, 2003)
Abstract. Concerning complete orientable minimal surfaces with finite total curvature in Euclidean three-space, we show for any positive genus the existence of noncongruent examples having the same symmetry group and conformal type.

2000 Mathematics Subject Classification. Primary 53A10; Secondary 53C42, 30F10.

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