Classification of Dupin Cyclidic Cubes by Their Singularities
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912294039977984 |
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| author | Menjanahary, Jean Michel Hoxhaj, Eriola Krasauskas, Rimvydas |
| author_facet | Menjanahary, Jean Michel Hoxhaj, Eriola Krasauskas, Rimvydas |
| contents | 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 Möbius equivalency in Euclidean space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07225 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of Dupin Cyclidic Cubes by Their Singularities Menjanahary, Jean Michel Hoxhaj, Eriola Krasauskas, Rimvydas Algebraic Geometry 65D17, 53A70, 70G45 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 Möbius equivalency in Euclidean space. |
| title | Classification of Dupin Cyclidic Cubes by Their Singularities |
| topic | Algebraic Geometry 65D17, 53A70, 70G45 |
| url | https://arxiv.org/abs/2405.07225 |