Evolutes of plane curves and null curves in Minkowski 3-space

DOI10.1007/s00022-016-0334-2zbMath1365.53009arXiv1605.02117OpenAlexW2963080805MaRDI QIDQ2397250

Rui Pacheco, Boaventura Nolasco

Publication date: 22 May 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02117

zbMATH Keywords

Minkowski spaceplane curvesevolutesnull curvesLaguerre geometryassociated pairs of curves

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Some New Properties of Surfaces Generated by Null Cartan Curves ⋮ Envelopes of circles and spacelike curves in the Lorentz-Minkowski 3-space ⋮ New results concerning Cartan null and pseudo null curves in Minkowski 3-space ⋮ Curves whose curvature depends on their position and null curves ⋮ Variations on the Tait-Kneser theorem ⋮ On congruences of Laguerre cycles and their envelopes ⋮ On special kinds of involute and evolute curves in 4-dimensional Minkowski space

Cites Work

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• Osculating curves: around the Tait-Kneser theorem
• New Euclidean theorems by the use of Laguerre transformations -- some geometry of Minkowski \((2+1)\)-space
• NULL HELICES IN LORENTZIAN SPACE FORMS
• Codimension One Isometric Immersions Between Lorentz Spaces
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• A note about the torsion of null curves in the 3-dimensional Minkowski spacetime and the Schwarzian derivative
• NOTE ON NULL HELICES IN <TEX>$\mathbb{E}_1^3$</TEX>
• Null Bertrand curves in Minkowski 3-space and their characterizations
• Lie sphere geometry. With applications to submanifolds

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