On the Total CR Twist of Transversal Curves in the 3-Sphere
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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2023 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212030 |
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| 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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862608735852036096 |
|---|---|
| author | Musso, Emilio Nicolodi, Lorenzo |
| author_facet | Musso, Emilio Nicolodi, Lorenzo |
| citation_txt | On the Total CR Twist of Transversal Curves in the 3-Sphere. Emilio Musso and Lorenzo Nicolodi. SIGMA 19 (2023), 101, 36 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 integration of general critical curves is provided, and a characterization of closed curves within a specific class of general critical curves is given. Experimental evidence of the existence of an infinite countable number of closed critical curves is provided.
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| first_indexed | 2026-03-14T05:42:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212030 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T05:42:52Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Musso, Emilio Nicolodi, Lorenzo 2026-01-23T10:08:31Z 2023 On the Total CR Twist of Transversal Curves in the 3-Sphere. Emilio Musso and Lorenzo Nicolodi. SIGMA 19 (2023), 101, 36 pages 1815-0659 2020 Mathematics Subject Classification: 53C50; 53C42; 53A10 arXiv:2307.04763 https://nasplib.isofts.kiev.ua/handle/123456789/212030 https://doi.org/10.3842/SIGMA.2023.101 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 integration of general critical curves is provided, and a characterization of closed curves within a specific class of general critical curves is given. Experimental evidence of the existence of an infinite countable number of closed critical curves is provided. The authors were partially supported by PRIN 2017 “Real and Complex Manifolds: Topology, Geometry and holomorphic dynamics” (protocollo 2017JZ2SW5-004) and by the GNSAGA of INdAM. The present research was also partially supported by MIUR grant “Dipartimenti di Eccellenza” 2018-2022, CUP: E11G18000350001, DISMA, Politecnico di Torino. The authors gratefully acknowledge the referees for their helpful comments and suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Total CR Twist of Transversal Curves in the 3-Sphere Article published earlier |
| spellingShingle | On the Total CR Twist of Transversal Curves in the 3-Sphere Musso, Emilio Nicolodi, Lorenzo |
| title | On the Total CR Twist of Transversal Curves in the 3-Sphere |
| title_full | On the Total CR Twist of Transversal Curves in the 3-Sphere |
| title_fullStr | On the Total CR Twist of Transversal Curves in the 3-Sphere |
| title_full_unstemmed | On the Total CR Twist of Transversal Curves in the 3-Sphere |
| title_short | On the Total CR Twist of Transversal Curves in the 3-Sphere |
| title_sort | on the total cr twist of transversal curves in the 3-sphere |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212030 |
| work_keys_str_mv | AT mussoemilio onthetotalcrtwistoftransversalcurvesinthe3sphere AT nicolodilorenzo onthetotalcrtwistoftransversalcurvesinthe3sphere |