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Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces
Інший ID:
2000 Mathematics Subject Classification: 81T40
Посилання:
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.
Підтримка:
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.
Дата:
2007
Переглядів:
621
Завантажень:
283
Анотація:
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.
