Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces
Conformal Weyl and Cotton tensors are dimensionally reduced by a Kaluza-Klein procedure. Explicit formulas are given for reducing from four and three dimensions to three and two dimensions, respectively. When the higher dimensional conformal tensor vanishes because the space is conformallly flat, th...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147210 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces / R. Jackiw // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862706817301217280 |
|---|---|
| author | Jackiw, R. |
| author_facet | Jackiw, R. |
| citation_txt | Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces / R. Jackiw // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Conformal Weyl and Cotton tensors are dimensionally reduced by a Kaluza-Klein procedure. Explicit formulas are given for reducing from four and three dimensions to three and two dimensions, respectively. When the higher dimensional conformal tensor vanishes because the space is conformallly flat, the lower-dimensional Kaluza-Klein functions satisfy equations that coincide with the Einstein-Weyl equations in three dimensions and kink equations in two dimensions.
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| first_indexed | 2025-12-07T17:01:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147210 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:01:39Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Jackiw, R. 2019-02-13T19:06:34Z 2019-02-13T19:06:34Z 2007 Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces / R. Jackiw // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 7 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81T40 https://nasplib.isofts.kiev.ua/handle/123456789/147210 Conformal Weyl and Cotton tensors are dimensionally reduced by a Kaluza-Klein procedure. Explicit formulas are given for reducing from four and three dimensions to three and two dimensions, respectively. When the higher dimensional conformal tensor vanishes because the space is conformallly flat, the lower-dimensional Kaluza-Klein functions satisfy equations that coincide with the Einstein-Weyl equations in three dimensions and kink equations in two dimensions. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). This work was supported in part by funds provided by the U.S. Department of Energy under cooperative research agreement #DF-FC02-94ER40818. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces Article published earlier |
| spellingShingle | Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces Jackiw, R. |
| title | Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces |
| title_full | Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces |
| title_fullStr | Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces |
| title_full_unstemmed | Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces |
| title_short | Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces |
| title_sort | dimensional reduction of conformal tensors and einstein-weyl spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147210 |
| work_keys_str_mv | AT jackiwr dimensionalreductionofconformaltensorsandeinsteinweylspaces |