Zhizhang Xie

most citedA relative higher index theorem, diffeomorphisms and positive scalar curvature

3 citations · 4 across the 2 of their papers we have counts for

collaborators

2 papers

math.DG2024★ 1 cited

Scalar curvature rigidity of the four-dimensional sphere

Simone Cecchini, Jinmin Wang, Zhizhang Xie +1

Let $(M, g)$ be a closed connected oriented (possibly non-spin) smooth four-dimensional manifold with scalar curvature bounded below by $n (n - 1)$ . In this paper, we prove that if $f$ …

math.KT2012★ 3 cited

A relative higher index theorem, diffeomorphisms and positive scalar curvature

Zhizhang Xie, Guoliang Yu

We prove a general relative higher index theorem for complete manifolds with positive scalar curvature towards infinity. We apply this theorem to study Riemannian metrics of positi…