The Cauchy-Riemann strain functional for Legendrian curves in the 3-sphere

DOI10.1007/s10231-020-00974-7zbMath1459.53076arXiv2003.01713OpenAlexW3010865538MaRDI QIDQ2210733

Emilio Musso, Filippo Salis

Publication date: 8 November 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01713

zbMATH Keywords

elliptic curvesCR-geometrycontact structuresLegendrian curveselliptic functions and integralsArnold-Liouville integrability

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Contact manifolds (general theory) (53D10) CR structures, CR operators, and generalizations (32V05) Projective differential geometry (53A20)

Related Items (3)

On the total CR twist of transversal curves in the 3-sphere ⋮ On the Cauchy-Riemann geometry of transversal curves in the 3-sphere ⋮ Closed 1/2-elasticae in the 2-sphere

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