Classifications of Translation Surfaces in Isotropic Geometry with Constant Curvature

Classifications of Translation Surfaces in Isotropic Geometry with Constant Curvature

We classify translation surfaces in isotropic geometry with arbitrary constant isotropic Gaussian and mean curvatures under the condition that at least one translating curve lies in the plane.

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Veröffentlicht in:Ukrainian mathematical journal 2020-08, Vol.72 (3), p.329-347
1. Verfasser: Aydin, M. E.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Zusammenfassung:We classify translation surfaces in isotropic geometry with arbitrary constant isotropic Gaussian and mean curvatures under the condition that at least one translating curve lies in the plane.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-020-01785-y