Differential Invariants and Symmetry: Riemannian metrics and beyond
Differential Geometry
2015-02-11 v1
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.
Keywords
Cite
@article{arxiv.1502.02812,
title = {Differential Invariants and Symmetry: Riemannian metrics and beyond},
author = {Boris Kruglikov},
journal= {arXiv preprint arXiv:1502.02812},
year = {2015}
}