ON THE PROBLEM OF TORE DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS
The construction of the extensions of a 2-torus diffeomorphism up to volume preserving diffeomorphism of solid tori is proposed. The construction is illustrated on the example of extension of diffeomorphism of action on the torus. These extensions are used for the construction of kinematic dynamo ex...
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| Format: | Article |
| Language: | Russian |
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Moscow State Technical University of Civil Aviation
2016-11-01
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| Series: | Научный вестник МГТУ ГА |
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| Online Access: | https://avia.mstuca.ru/jour/article/view/243 |
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| _version_ | 1849698290999754752 |
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| author | A. M. Lukatsky |
| author_facet | A. M. Lukatsky |
| author_sort | A. M. Lukatsky |
| collection | DOAJ |
| description | The construction of the extensions of a 2-torus diffeomorphism up to volume preserving diffeomorphism of solid tori is proposed. The construction is illustrated on the example of extension of diffeomorphism of action on the torus. These extensions are used for the construction of kinematic dynamo examples onto solid torus. For the case of n -sphere a generation of results obtained before is proposed. |
| format | Article |
| id | doaj-art-e062e334dba445cdb7aa643df0973cc9 |
| institution | DOAJ |
| issn | 2079-0619 2542-0119 |
| language | Russian |
| publishDate | 2016-11-01 |
| publisher | Moscow State Technical University of Civil Aviation |
| record_format | Article |
| series | Научный вестник МГТУ ГА |
| spelling | doaj-art-e062e334dba445cdb7aa643df0973cc92025-08-20T03:18:56ZrusMoscow State Technical University of Civil AviationНаучный вестник МГТУ ГА2079-06192542-01192016-11-010207133137243ON THE PROBLEM OF TORE DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONSA. M. Lukatsky0институт энергетических исследований (ИНЭИ) РАНThe construction of the extensions of a 2-torus diffeomorphism up to volume preserving diffeomorphism of solid tori is proposed. The construction is illustrated on the example of extension of diffeomorphism of action on the torus. These extensions are used for the construction of kinematic dynamo examples onto solid torus. For the case of n -sphere a generation of results obtained before is proposed.https://avia.mstuca.ru/jour/article/view/243diffeomorphismboundaryextensiontorussolid torusanalytic extensionfree-divergence vector fieldvolume preserving diffeomorphismkinematic dynamo |
| spellingShingle | A. M. Lukatsky ON THE PROBLEM OF TORE DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS Научный вестник МГТУ ГА diffeomorphism boundary extension torus solid torus analytic extension free-divergence vector field volume preserving diffeomorphism kinematic dynamo |
| title | ON THE PROBLEM OF TORE DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS |
| title_full | ON THE PROBLEM OF TORE DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS |
| title_fullStr | ON THE PROBLEM OF TORE DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS |
| title_full_unstemmed | ON THE PROBLEM OF TORE DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS |
| title_short | ON THE PROBLEM OF TORE DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS |
| title_sort | on the problem of tore diffeomorphism extension and its applications |
| topic | diffeomorphism boundary extension torus solid torus analytic extension free-divergence vector field volume preserving diffeomorphism kinematic dynamo |
| url | https://avia.mstuca.ru/jour/article/view/243 |
| work_keys_str_mv | AT amlukatsky ontheproblemoftorediffeomorphismextensionanditsapplications |