Archivio Istituzionale della RicercaWe investigate the total CR twist functional on transversal curves in the standard CR 3-sphere S3 ⊂ CP^2. The question of the integration by quadratures of the critical curves and the problem of existence and properties of closed critical curves are addressed. A procedure for the explicit integration of general critical curves is provided and a characterization of closed curves within a specific class of general critical curves is given.
On the Total CR Twist of Transversal Curves in the 3-Sphere / Musso, E.; Nicolodi, L.. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - ELETTRONICO. - 19:(2023), pp. 1-36. [10.3842/SIGMA.2023.101]
On the Total CR Twist of Transversal Curves in the 3-Sphere
Musso E.;Nicolodi L.
2023
Abstract
We investigate the total CR twist functional on transversal curves in the standard CR 3-sphere S3 ⊂ CP^2. The question of the integration by quadratures of the critical curves and the problem of existence and properties of closed critical curves are addressed. A procedure for the explicit integration of general critical curves is provided and a characterization of closed curves within a specific class of general critical curves is given.
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https://hdl.handle.net/11583/2984931