Moduli spaces for finite-order jets of Riemannian metrics

Details Moduli spaces for finite-order jets of Riemannian metrics Moduli spaces for finite-order jets of Riemannian metrics

2008-08-22

arxiv.org/abs/0808.2996v2

Differential Geometry and its Applications, Volume 28, Issue 6, Dec 2010, pages 672-688

Mathematics

Differential Geometry

25 pages, corrected typos, partially changed content with an appendix added

Scientific paper

10.1016/j.difgeo.2010.07.002

We construct the moduli space of r-jets at a point of Riemannian metrics on a smooth manifold. The construction is closely related to the problem of classification of jet metrics via 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.

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