On the Total CR Twist of Transversal Curves in the 3-Sphere

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• Hauptverfasser: Musso, Emilio, Nicolodi, Lorenzo
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212030
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On the Total CR Twist of Transversal Curves in the 3-Sphere. Emilio Musso and Lorenzo Nicolodi. SIGMA 19 (2023), 101, 36 pages

We investigate the total CR twist functional on transversal curves in the standard CR 3-sphere S3⊂C2. The question of the integration by quadratures of the critical curves and the problem of the existence and properties of closed critical curves are addressed. A procedure for the explicit integratio...