Slant and Legendre curves in Berger \(su(2)\): the Lancret invariant and quantum spherical curves

DOI10.11650/TJM.19.2015.5297zbMath1357.53007OpenAlexW1913510634MaRDI QIDQ514923

Mircea Crasmareanu, Constantin Călin

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.5297

zbMATH Keywords

Lancret invariantLegendre curveBerger sphereslant curveHopf bundleproper mean curvature vector fieldquantum spherical curve and its mate

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Curves in Euclidean and related spaces (53A04)

Related Items (2)

Unnamed Item ⋮ Kähler manifolds of quasi-constant holomorphic sectional curvature and generalized Sasakian space forms

Cites Work

• Unnamed Item
• On Legendre curves in contact 3-manifolds
• Geometric phases in classical and quantum mechanics
• Periodic magnetic curves in Berger spheres
• General helices and a theorem of Lancret
• Submanifolds with harmonic mean curvature vector field in contact 3-manifolds
• Riemannian Geometry

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