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arXiv · 1502.02812

Differential Invariants and Symmetry: Riemannian metrics and beyond

Boris Kruglikov
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Abstract

We discuss Lie-Tresse theorem for the pseudogroup of diffeomorphisms acting on the space of (pseudo-)Riemannian metrics, and relate this to existence of Killing vector fields. Then we discuss the impact of symmetry in the general case.

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Boris Kruglikov. 2015-02-10. Differential Invariants and Symmetry: Riemannian metrics and beyond. https://arxiv.org/abs/1502.02812

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