Lifting tensors from orbifold quotients
Differential Geometry
2012-05-23 v1
Abstract
We deal with a Lie group G acting by isometries on a Riemannian manifold M, such that the quotient M/G is an orbifold, or, equivalently, all slice representations are polar. We show that any smooth orbifold symmetric 2-tensor on M/G lifts to a smooth G-invariant symmetric 2-tensor on M. The proof relies on a fact about the Invariant Theory of finite reflection groups which may be of independent interest.
Keywords
Cite
@article{arxiv.1205.4765,
title = {Lifting tensors from orbifold quotients},
author = {Ricardo A. E. Mendes},
journal= {arXiv preprint arXiv:1205.4765},
year = {2012}
}
Comments
24 pages