Improved Hebey-Vaugon conjecture on equivariant Yamabe invariants in dimension 3
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 σG(M) under certain topological assumptions, which improved a conjecture of Hebey-Vaugon.
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