S^1-equivariant Yamabe invariant of 3-manifolds
Differential Geometry
2015-08-13 v1
Abstract
We show that the S^1-equivariant Yamabe invariant of the 3-sphere, endowed with the Hopf action, is equal to the (non-equivariant) Yamabe invariant of the 3-sphere. More generally, we establish a topological upper bound for the S^1-equivariant Yamabe invariant of any closed oriented 3-manifold endowed with an S^1-action. Furthermore, we prove a convergence result for the equivariant Yamabe constants of an accumulating sequence of subgroups of a compact Lie group acting on a closed manifold.
Keywords
Cite
@article{arxiv.1508.02727,
title = {S^1-equivariant Yamabe invariant of 3-manifolds},
author = {Bernd Ammann and Farid Madani and Mihaela Pilca},
journal= {arXiv preprint arXiv:1508.02727},
year = {2015}
}