Moduli spaces for jets of Riemannian metrics at a point

被引：3
|
作者：
Gordillo, A. [1 ]
Navarro, J. [1 ]
Sancho, J. B. [1 ]
机构：
[1] Univ Extremadura, Dept Matemat, E-06071 Badajoz, Spain
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2010年 / 28卷 / 06期
关键词：
Moduli spaces; Metric jets; Differential invariants; INVARIANT;
D O I：
10.1016/j.difgeo.2010.07.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct the moduli space of r-jets of Riemannian metrics at a point on a smooth manifold. The construction is closely related to the problem of classification of metric jets via scalar differential invariants. The moduli space is proved to be a differentiable space which admits a finite canonical stratification into smooth manifolds. A complete study on the stratification of moduli spaces is carried out for metrics in dimension n = 2. (C) 2010 Elsevier B.V. All rights reserved.
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页码：672 / 688
页数：17
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