Geometry of special curves and surfaces in 3-space form

DOI10.1016/j.geomphys.2018.09.010zbMath1410.53022OpenAlexW2899311485WikidataQ129024153 ScholiaQ129024153MaRDI QIDQ669575

Juan-Miguel Gracia

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.09.010

zbMATH Keywords

mean curvaturegeodesicspace formBertrand curve

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (7)

Differential geometry of magnetic and Killing magnetic trajectories in de Sitter 3-space ⋮ Geometrical Aspects of Motion of Charged Particles in Magnetic and Killing Magnetic Fields and Their Corresponding Trajectories in Anti-De Sitter 3-Space ⋮ Legendrian dualities and evolute-involute curve pairs of spacelike fronts in null sphere ⋮ Enveloids and involutoids of spherical Legendre curves ⋮ Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space ⋮ Enveloids of Legendre curves in the unit tangent bundle over the Euclidean plane ⋮ Characterization of manifolds of constant curvature by ruled surfaces

Cites Work

• Bertrand curves in the three-dimensional sphere
• Bertrand offsets of ruled and developable surfaces
• Special curves and ruled surfaces
• Null Cartan Bertrand curves of \(AW(k)\)-type in Minkowski 4-space
• Bertrand curves in 3-dimensional space forms
• BERTRAND CURVES IN NON-FLAT 3-DIMENSIONAL (RIEMANNIAN OR LORENTZIAN) SPACE FORMS
• Null Bertrand curves in Minkowski 3-space and their characterizations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Geometry of special curves and surfaces in 3-space form