Xiangsheng Wang

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20142023

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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…

math.DG2023★ 3 cited

On a relation between the $K$ -cowaist and the $A^$ -cowaist

Xiangsheng Wang

The $K$ -cowaist $K-cw_{2} (M)$ and the $A^$ -cowaist $A^$ - $cw_{2} (M)$ are two interesting invariants on a manifold $M$ , which are c…

math.DG2023

Spectral Flow, Llarull's Rigidity Theorem in Odd Dimensions and its Generalization

Yihan Li, Guangxiang Su, Xiangsheng Wang

For a compact spin Riemannian manifold $(M, g^{T M})$ of dimension $n$ such that the associated scalar curvature $k^{T M}$ verifies that $k^{T M} ⩾ n (n - 1)$ , Llarull's rigidity t…

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

On a relation between the K-cowaist and the A^-cowaist

Spectral Flow, Llarull's Rigidity Theorem in Odd Dimensions and its Generalization

On a relation between the $K$ -cowaist and the $A^$ -cowaist