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

2023/09/25 by Wang, Tongrui, Yao, Xuan
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.13861

Abstract

Consider a closed connected 3-manifold M acted diffeomorphically on by a compact Lie group G with at least one orbit of finite cardinality. We show an upper bound for the G-equivariant Yamabe invariant σ_G(M) under certain topological assumptions, which improved a conjecture of Hebey-Vaugon.

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