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Classifications of Translation Surfaces in Isotropic Geometry with Constant Curvature

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UDC 515.12 We classify translation surfaces in isotropic geometry with arbitrary constant isotropic Gaussian and mean curvatures under the condition that at least one of translating curves lies in a… Click to show full abstract

UDC 515.12 We classify translation surfaces in isotropic geometry with arbitrary constant isotropic Gaussian and mean curvatures under the condition that at least one of translating curves lies in a plane.

Keywords: geometry; surfaces isotropic; isotropic geometry; classifications translation; translation surfaces

Journal Title: Ukrainian Mathematical Journal
Year Published: 2020

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