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.

引用

页码：672 / 688

页数：17

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