activity
20062026
most citedNonnegative scalar curvature and area decreasing maps on complete foliated manifolds

8 citations · 14 across the 15 of their papers we have counts for

collaborators

17 papers

math.DG2026

Positive Scalar Curvature on Foliations: Long Neck Problem

Hengyu Chen, Guangxiang Su

We prove estimates for Gromov's Long Neck Foliated Conjecture in the spin cases, which involves leafwise scalar curvature. The same methods yield a quantitative version of a theore…

math.DG2025

A remark on -enlargeable manifolds

Guangxiang Su

In this note, we consider the case where the condition ``constant near infinity" in the definition of -enlargeable manifolds is replaced by the condition ``locally constant ne…

math.DG2025

Leafwise positive scalar curvature and the Rosenberg index

Guangxiang Su, Zelin Yi

Let be a closed spin manifold, in this paper, we show that if there is a foliation and a Riemannian metric on that has leafwise positive scalar curvature then the R…

math.DG2023

Enlargeable Foliations and the Monodromy Groupoid: Infinite Covers

Guangxiang Su, Zelin Yi

In this paper, we prove that the foliated Rosenberg index of a possibly noncompactly enlargeable, spin foliation is nonzero. It generalizes our previous result. The difficulty brou…

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 of dimension such that the associated scalar curvature verifies that , Llarull's rigidity t…

math.DG2021

Enlargeable foliations and the monodromy groupoid

Guangxiang Su, Zelin Yi

Let be a spin manifold, the Dirac operator with coefficient in the universal flat Hilbert -module determines a "Rosenberg index element" which, according to B.Ha…