Report
Channel surfaces in Lie sphere geometry
| العنوان: | Channel surfaces in Lie sphere geometry |
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| المؤلفون: | Pember, Mason, Szewieczek, Gudrun |
| المصدر: | Beitr Algebra Geom (2018) |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53A40, 53B25, 53C42 |
| الوصف: | We discuss channel surfaces in the context of Lie sphere geometry and characterise them as certain $\Omega_{0}$-surfaces. Since $\Omega_{0}$-surfaces possess a rich transformation theory, we study the behaviour of channel surfaces under these transformations. Furthermore, by using certain Dupin cyclide congruences, we characterise Ribaucour pairs of channel surfaces. Comment: 14 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s13366-018-0394-6 |
| URL الوصول: | http://arxiv.org/abs/1709.02224 |
| رقم الانضمام: | edsarx.1709.02224 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s13366-018-0394-6 |
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