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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Bibliographic Details
Published in:Ukrainian mathematical journal 2020-08, Vol.72 (3), p.329-347
Main Author: Aydin, M. E.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Citations: Items that this one cites
Online Access:Get full text
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Description
Summary: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