New Flat Surfaces in S3
Keywords:Flat surfaces, Ribaucour transformations, 3-sphere, flat torus, complete surface
In this paper, we consider a method of constructing flat surfaces based on Ribaucour transformations in S3. By applying the theory to the flat torus, we obtain a family of complete flat surfaces in S3 which is determined by several parameters. We provide explicit examples.
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Copyright (c) 2021 Armando M. V. Corro, Marcelo Lopes Ferro
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