Boyu Zhang

collaborators

2 papers

math.DG2025

Covering instability for the existence of positive scalar curvature metrics

Chao Li, Boyu Zhang

We show that a closed non-orientable $3$ -manifold admits a positive scalar curvature metric if and only if its orientation double cover does; however, for each $4 \leq n \leq 7$ , there…

math.DG2025

On the topology of stable minimal hypersurfaces in a homeomorphic $S^{4}$

Chao Li, Boyu Zhang

We construct stable minimal hypersurfaces with simple topology in certain compact $4$ -manifolds $X$ with boundary, where $X$ embeds into a smooth manifold homeomorphic to $S^{4}$ . Fo…

Covering instability for the existence of positive scalar curvature metrics

On the topology of stable minimal hypersurfaces in a homeomorphic S4

On the topology of stable minimal hypersurfaces in a homeomorphic $S^{4}$