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- Title
NULL-TRANSLATION SURFACES WITH CONSTANT CURVATURES IN LORENTZ-MINKOWSKI 3-SPACE.
- Authors
FILIPAN, IVANA; ŠIPUŠ, ŽELJKA MILIN; GAJČIĆ, LJILJANA PRIMORAC
- Abstract
Translation surface is a surface formed by two curves moving along each other. In this paper we analyze this kind of surfaces in Lorentz-Minkowski 3-space R³1, which is the smooth manifold R³ endowed by a flat Lorentzian pseudometric. Translation surfaces in R³1 can be classified with respect to the causal character of their generating curves (spacelike, timelike or null (lightlike)). We are specially interested in translation surfaces generated by at least one null curve, which we refer to as null-translation surfaces. In the present paper we determine all nulltranslation surfaces of constant mean curvature and prove that the only null-translation surfaces of constant Gaussian curvature are cylindrical surfaces.
- Subjects
MINKOWSKI geometry; CURVES; GEOMETRY; GAUSSIAN distribution; ASYMPTOTIC normality
- Publication
Rad HAZU: Matematicke Znanosti, 2023, Vol 27, p219
- ISSN
1845-4100
- Publication type
Article
- DOI
10.21857/yk3jwhnl19