References & Citations
Mathematics > Algebraic Geometry
Title: Classification of Dupin Cyclidic Cubes by Their Singularities
(Submitted on 12 May 2024)
Abstract: Triple orthogonal coordinate systems having coordinate lines as circles or straight lines are considered. Technically, they are represented by trilinear rational quaternionic maps and are called Dupin cyclidic cubes, naturally generalizing the bilinear rational quaternionic parametrizations of principal patches of Dupin cyclides. Dupin cyclidic cubes and their singularities are studied and classified up to M\"obius equivalency in Euclidean space.
Submission history
From: Jean Michel Menjanahary [view email][v1] Sun, 12 May 2024 09:00:37 GMT (2923kb,D)
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