ISOMETRY GROUPS OF 3-DIMENSIONAL RIEMANNIAN METRICS

被引：11
|
作者：
BONA, C [1 ]
COLL, B [1 ]
机构：
[1] INST POINCARE,PHYS THEOR GRAVITAT & COSMOL RELATIVISTES LAB,F-75231 PARIS 05,FRANCE
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 01期
关键词：
D O I：
10.1063/1.529960
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The necessary and sufficient conditions for a three-dimensional Riemannian metric to admit a group G(r) of isometries acting on s-dimensional orbits are given. This provides the list of (abstract) groups that can act isometrically and maximally on such metrics. The conditions are expressed in terms of the eigenvalues and eigenvectors of the Ricci tensor. In any case, the order of differentiability of these data necessary to determine the isometry group is less than 4.
引用
收藏
页码：267 / 272
页数：6
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