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arXiv:0808.2996 [math.DG]AbstractReferencesReviewsResources

Moduli spaces for finite-order jets of Riemannian metrics

A. Gordillo, J. Navarro, J. B. Sancho

Published 2008-08-22, updated 2009-03-05Version 2

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.

Comments: 25 pages, corrected typos, partially changed content with an appendix added
Journal: Differential Geometry and its Applications, Volume 28, Issue 6, Dec 2010, pages 672-688
Categories: math.DG, math-ph, math.MP
Subjects: 58D27, 53A55
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