3 citations · 4 across the 5 of their papers we have counts for
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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…
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…
Llarull's theorem on odd dimensional manifolds: the noncompact case
Yihan Li, Guangxiang Su, Xiangsheng Wang +1
Let be an odd dimensional () connected oriented noncompact complete spin Riemannian manifold. Let be the associated scalar curvature. Let $f:M\t…
On a relation between the -cowaist and the -cowaist
Xiangsheng Wang
The -cowaist and the -cowaist - are two interesting invariants on a manifold , which are c…