Harmonic evolutes of B-scrolls with constant mean curvature in Lorentz–Minkowski space

DOI10.1142/S0219887819500762zbMath1422.53011OpenAlexW2921994131MaRDI QIDQ5232438

Željka Milin Šipuš, Rafael López, Ljiljana Primorac Gajčić, Ivana Protrka

Publication date: 3 September 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887819500762

zbMATH Keywords

mean curvatureLorentz-Minkowski space\(B\)-scrollharmonic evolute

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Special relativity (83A05) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Unnamed Item ⋮ A new construction for harmonic evolute surfaces of quasi tangent surfaces with quasi frame ⋮ A new characterization of null scrolls as parallel surfaces ⋮ Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space ⋮ Harmonic evolute surface of tubular surfaces via \(\mathbb{B}\)-Darboux frame in Euclidean 3-space

Cites Work

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• Totally quasi-umbilic timelike surfaces in \(\mathbb{R}^{1,2}\)
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• Codimension One Isometric Immersions Between Lorentz Spaces
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• Null Bertrand curves in Minkowski 3-space and their characterizations
• Computational line geometry

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