Xiangsheng Wang

activity

20242026

most citedLlarull's theorem on odd dimensional manifolds: the noncompact case

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.DG2026

The positive mass theorem under a spectral scalar curvature bound on spin manifolds

Xiangsheng Wang

On spin manifolds, we give a proof of Brendle and Wang's refined positive mass theorem using the Dirac operator method. In the course of this proof, we discuss the origin of the sp…

math.AG2026

Comparison of Kähler quotients of torus actions

Xiangsheng Wang, Xiangdong Yang

Let $T$ be a torus with the complexification $T^{C}$ and $(X, d s^{2})$ a compact Kähler Hamiltonian $T$ -manifold with the moment map $Φ$ such that $T^{C}$ acts on…

math.DG2025

Generalized moment maps, reduction and complex quotients

Yi Hu, Xiangsheng Wang

In this note, we introduce the concept of momentumly closed forms. A non-degenerate momentumly closed two-form and its generalized moment map are the generalization of two well-kno…

math.DG2024★ 1 cited

Llarull's theorem on odd dimensional manifolds: the noncompact case

Yihan Li, Guangxiang Su, Xiangsheng Wang +1

Let $(M, g^{T M})$ be an odd dimensional ( $dim M \geq 3$ ) connected oriented noncompact complete spin Riemannian manifold. Let $k^{T M}$ be the associated scalar curvature. Let $f:M\t…