Tohoku Mathematical Journal

Noncongruent minimal surfaces with the same symmetries and conformal structure

Valério Ramos Batista

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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.

Article information

Tohoku Math. J. (2), Volume 56, Number 2 (2004), 237-254.

First available in Project Euclid: 11 April 2005

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Zentralblatt MATH identifier

Primary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]


Ramos Batista, Valério. Noncongruent minimal surfaces with the same symmetries and conformal structure. Tohoku Math. J. (2) 56 (2004), no. 2, 237--254. doi:10.2748/tmj/1113246552.

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