| Autor: |
Hertrich-Jeromin, Udo, Pember, Mason, Polly, Denis |
| Zdroj: |
Contributions to Algebra & Geometry; Dec2023, Vol. 64 Issue 4, p969-1009, 41p |
| Abstrakt: |
Channel linear Weingarten surfaces in space forms are investigated in a Lie sphere geometric setting, which allows for a uniform treatment of different ambient geometries. We show that any channel linear Weingarten surface in a space form is isothermic and, in particular, a surface of revolution in its ambient space form. We obtain explicit parametrisations for channel surfaces of constant Gauss curvature in space forms, and thereby for a large class of linear Weingarten surfaces up to parallel transformation. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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