Xuan Yao

activity

20232026

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math.DG2023

Generalized $S^{1}$ -stability theorem

Tongrui Wang, Xuan Yao

We use the equivariant $μ$ -bubbles technique to prove that for any compact manifold $M^{n}$ with non-empty boundary, $n \in {3, 5, 6}$ , the Yamabe invariant of $M^{n}$ is positive if and…

math.DG2023

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

Tongrui Wang, Xuan Yao

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 $G$ …

Generalized S1-stability theorem

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

Generalized $S^{1}$ -stability theorem