English

Improved Hebey-Vaugon conjecture on equivariant Yamabe invariants in dimension 3

Differential Geometry 2023-09-26 v1

Abstract

Consider a closed connected 33-manifold MM acted diffeomorphically on by a compact Lie group GG with at least one orbit of finite cardinality. We show an upper bound for the GG-equivariant Yamabe invariant σG(M)\sigma_G(M) under certain topological assumptions, which improved a conjecture of Hebey-Vaugon.

Keywords

Cite

@article{arxiv.2309.13861,
  title  = {Improved Hebey-Vaugon conjecture on equivariant Yamabe invariants in dimension 3},
  author = {Tongrui Wang and Xuan Yao},
  journal= {arXiv preprint arXiv:2309.13861},
  year   = {2023}
}

Comments

10 pages, 2 figures, comments are welcome!