8 citations · 23 across the 12 of their papers we have counts for
13 papers
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…
Comparison of Kähler quotients of torus actions
Xiangsheng Wang, Xiangdong Yang
Let be a torus with the complexification and a compact Kähler Hamiltonian -manifold with the moment map such that acts on…
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…
Spectral Flow, Llarull's Rigidity Theorem in Odd Dimensions and its Generalization
Yihan Li, Guangxiang Su, Xiangsheng Wang
For a compact spin Riemannian manifold of dimension such that the associated scalar curvature verifies that , Llarull's rigidity t…
The complex hyperbolic form as a Weil-Petersson form
Xiangsheng Wang
For the moduli space of the punctured spheres, we find a new equality between two symplectic forms defined on it. Namely, by treating the elements of this moduli space as the singu…
On the generalized Geroch conjecture for complete spin manifolds
Xiangsheng Wang, Weiping Zhang
Let be a closed area enlargeable manifold in the sense of Gromov-Lawson and be a noncompact spin manifold, we show that the connected sum admits no complete metric…
-cowaist on complete foliated manifolds
Guangxiang Su, Xiangsheng Wang
Let be a connected (not necessarily compact) foliated manifold carrying a complete Riemannian metric . We generalize Gromov's -cowaist using the coverin…
Nonnegative scalar curvature and area decreasing maps on complete foliated manifolds
Guangxiang Su, Xiangsheng Wang, Weiping Zhang
Let be a noncompact complete Riemannian manifold of dimension , and let be an integrable subbundle of . Let be the restricted…
A new Weyl group action related to the quasi-classical Gelfand-Graev action
Xiangsheng Wang
We construct a Weyl group action on the DKS type varieties, a certain class of varieties associated with quivers. As a result, on some special DKS type varieties, we can give a qui…
On the complex structure of symplectic quotients
Xiangsheng Wang
Let be a compact group. For a symplectic quotient of a compact Hamiltonian Kähler -manifold, we show that the induced complex structure on is locally invariant w…
Elliptic boundary value problem on non-compact -manifolds
Xiangsheng Wang
In this paper, an equality between the Hochs-Mathai type index and the Atiyah-Patodi-Singer type index is established when the manifold and the group action are both non-compact, w…