Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces

被引：6
作者：
Jackiw, Roman [1 ]
机构：
[1] MIT, Dept Phys, Cambridge, MA 02139 USA
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2007年 / 3卷
关键词：
conformal tensors; dimensional reductions; Kaluza-Klein;
D O I：
10.3842/SIGMA.2007.091
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：7
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