首页|Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design
Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design
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NSTL
Elsevier
We introduce a characterization for affine equivalence of two surfaces of translation defined by either rational or meromorphic generators. In turn, this induces a similar characterization for minimal surfaces. In the rational case, our results provide algorithms for detecting affine equivalence of these surfaces, and therefore, in particular, the symmetries of a surface of translation or a minimal surface of the considered types. Additionally, we apply our results to designing surfaces of translation and minimal surfaces with symmetries, and to computing the symmetries of the higher-order Enneper surfaces. (C) 2022 The Author(s). Published by Elsevier B.V.
NSTL
Elsevier
