Tongrui Wang

collaborators

3 papers

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 $G$ …

math.DG2023

Min-max theory for free boundary minimal hypersurfaces in locally wedge-shaped manifolds

Liam Mazurowski, Tongrui Wang

We develop a min-max theory for the area functional in the class of locally wedge-shaped manifolds. Roughly speaking, a locally wedge-shaped manifold is a Riemannian manifold that…

Generalized S1-stability theorem

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

Min-max theory for free boundary minimal hypersurfaces in locally wedge-shaped manifolds

Generalized $S^{1}$ -stability theorem