Yi Shi

collaborators

2 papers

math.DG2026

Faces of invariant convex sets in representations of nontrivial copolarity

Yi Shi

Let $(V, G)$ be an orthogonal representation of a compact Lie group $G$ with nontrivial copolarity, and $Σ$ a fat section of $(V, G)$ . If $E$ is a $G$ -invariant compact convex set…

math.DS2024

Global rigidity of smooth $Z ⋉_{λ} R$ -actions on $T^{2}$

Changguang Dong, Yi Shi

For $λ > 1$ , we consider the locally free $Z ⋉_{λ} R$ actions on $T^{2}$ . We show that, if the action is $C^{r}$ with $r \geq 2$ , then it is $C^{r - ε}$ -conju…

Faces of invariant convex sets in representations of nontrivial copolarity

Global rigidity of smooth Z⋉λ​R-actions on T2

Global rigidity of smooth $Z ⋉_{λ} R$ -actions on $T^{2}$