3 papers
math.DG2026
A Counterexample to Yau's Conjectured Asymptotic Scalar-Curvature Integral Bound
Tianze Hao, Jintian Zhu
A complete one-ended three-manifold with strictly positive Ricci curvature is constructed such that The constructio…
math.DG2026
A proof for the Riemannian positive mass theorem up to dimension 19
Yuchen Bi, Tianze Hao, Shihang He +2
In this paper, we prove the Riemannian positive mass theorem up to dimension , building on a combination of torical symmetrization and the singularity blow-up technique develop…
math.DG2023
Llarull type theorems on complete manifolds with positive scalar curvature
Tianze Hao, Yuguang Shi, Yukai Sun
In this paper, without assuming that manifolds are spin, we prove that if a compact orientable, and connected Riemannian manifold with scalar curvature ad…