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arXiv · 0808.2996

Moduli spaces for finite-order jets of Riemannian metrics

A. Gordillo·J. Navarro·J. B. Sancho
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Abstract

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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A. Gordillo, J. Navarro, J. B. Sancho. 2009-03-05. Moduli spaces for finite-order jets of Riemannian metrics. https://doi.org/10.1016/j.difgeo.2010.07.002

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