Integrability and Diffeomorphisms on Target Space
We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under certain assumptions, it turns out that these conservation laws are, in fact, gen...
Збережено в:
| Дата: | 2007 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147213 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Integrability and Diffeomorphisms on Target Space / C. Adam, J. Sanchez-Guillen, A. Wereszczynski // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147213 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1472132019-02-14T01:25:33Z Integrability and Diffeomorphisms on Target Space Adam, C. Sanchez-Guillen, J. Wereszczynski, A. We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under certain assumptions, it turns out that these conservation laws are, in fact, generated by a class of geometric target space transformations, namely the volume-preserving diffeomorphisms. We classify the possible conservation laws of field theories for the case of a three-dimensional target space. Further, we discuss some explicit examples. 2007 Article Integrability and Diffeomorphisms on Target Space / C. Adam, J. Sanchez-Guillen, A. Wereszczynski // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K05; 37K30; 37K40; 58E50; 81R12; 81T10 http://dspace.nbuv.gov.ua/handle/123456789/147213 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 briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under certain assumptions, it turns out that these conservation laws are, in fact, generated by a class of geometric target space transformations, namely the volume-preserving diffeomorphisms. We classify the possible conservation laws of field theories for the case of a three-dimensional target space. Further, we discuss some explicit examples. |
| format |
Article |
| author |
Adam, C. Sanchez-Guillen, J. Wereszczynski, A. |
| spellingShingle |
Adam, C. Sanchez-Guillen, J. Wereszczynski, A. Integrability and Diffeomorphisms on Target Space Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Adam, C. Sanchez-Guillen, J. Wereszczynski, A. |
| author_sort |
Adam, C. |
| title |
Integrability and Diffeomorphisms on Target Space |
| title_short |
Integrability and Diffeomorphisms on Target Space |
| title_full |
Integrability and Diffeomorphisms on Target Space |
| title_fullStr |
Integrability and Diffeomorphisms on Target Space |
| title_full_unstemmed |
Integrability and Diffeomorphisms on Target Space |
| title_sort |
integrability and diffeomorphisms on target space |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147213 |
| citation_txt |
Integrability and Diffeomorphisms on Target Space / C. Adam, J. Sanchez-Guillen, A. Wereszczynski // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT adamc integrabilityanddiffeomorphismsontargetspace AT sanchezguillenj integrabilityanddiffeomorphismsontargetspace AT wereszczynskia integrabilityanddiffeomorphismsontargetspace |
| first_indexed |
2023-05-20T17:26:50Z |
| last_indexed |
2023-05-20T17:26:50Z |
| _version_ |
1796153314145992704 |