Xiangsheng Wang

works on

dirac operator 1 positive mass theorem 1 scalar curvature 1 spectral condition 1 spin geometry 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.DG2026

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

Xiangsheng Wang

The paper proves Brendle and Wang’s refined positive mass theorem on spin manifolds using Dirac operator methods and explains the origin of the special coefficient in their spectra…

math.AG2026

Comparison of KÃ¤hler 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 KÃ¤hler Hamiltonian $T$ -manifold with the moment map $I^¦$ such that $T^{C}$ acts…

math.DG2026

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.DG2025

$K$ -cowaist on complete foliated manifolds

Guangxiang Su, Xiangsheng Wang

Let $(M, F)$ be a connected (not necessarily compact) foliated manifold carrying a complete Riemannian metric $g^{T M}$ . We generalize Gromov's $K$ -cowaist using the coverin…

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

Comparison of KÃ¤hler quotients of torus actions

Generalized moment maps, reduction and complex quotients

K-cowaist on complete foliated manifolds

$K$ -cowaist on complete foliated manifolds