Geometry of Centroaffine Surfaces in R⁵
We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R⁵∖{0} with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.
Збережено в:
| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146809 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Geometry of Centroaffine Surfaces in R⁵ / N. Bushek, J.N. Clelland // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146809 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1468092019-02-12T01:23:54Z Geometry of Centroaffine Surfaces in R⁵ Bushek, N. Clelland, J.N. We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R⁵∖{0} with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class. 2015 Article Geometry of Centroaffine Surfaces in R⁵ / N. Bushek, J.N. Clelland // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53A15; 58A15 DOI:10.3842/SIGMA.2015.001 http://dspace.nbuv.gov.ua/handle/123456789/146809 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R⁵∖{0} with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class. |
| format |
Article |
| author |
Bushek, N. Clelland, J.N. |
| spellingShingle |
Bushek, N. Clelland, J.N. Geometry of Centroaffine Surfaces in R⁵ Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bushek, N. Clelland, J.N. |
| author_sort |
Bushek, N. |
| title |
Geometry of Centroaffine Surfaces in R⁵ |
| title_short |
Geometry of Centroaffine Surfaces in R⁵ |
| title_full |
Geometry of Centroaffine Surfaces in R⁵ |
| title_fullStr |
Geometry of Centroaffine Surfaces in R⁵ |
| title_full_unstemmed |
Geometry of Centroaffine Surfaces in R⁵ |
| title_sort |
geometry of centroaffine surfaces in r⁵ |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146809 |
| citation_txt |
Geometry of Centroaffine Surfaces in R⁵ / N. Bushek, J.N. Clelland // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT bushekn geometryofcentroaffinesurfacesinr5 AT clellandjn geometryofcentroaffinesurfacesinr5 |
| first_indexed |
2023-05-20T17:25:41Z |
| last_indexed |
2023-05-20T17:25:41Z |
| _version_ |
1796153276523085824 |