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arXiv · 1205.4765

Lifting tensors from orbifold quotients

Ricardo A. E. Mendes
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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.

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Ricardo A. E. Mendes. 2012-05-21. Lifting tensors from orbifold quotients. https://arxiv.org/abs/1205.4765

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