Yu-Hang Liu

collaborators

2 papers

math.DG2026

Curvature Sign Rigidity and Sharp Pointwise Pinching Thresholds

Minbo Gao, Yuhang Liu, Genyuan Zhang

We study connected Riemannian manifolds on which either the sectional curvature or the Ricci tensor is, at each point, strictly positive, strictly negative, or zero, and ask whethe…

math.DG2026

Almost Positive Sectional Curvature with Bounded Geometry on $S^{2} \times S^{2}$

Yuhang Liu

Let $M = S^{2} \times S^{2}$ . We prove that there is a fixed smooth open ball $U \subset M$ such that, for every $ε > 0$ , one can find a smooth metric $g_{ε}$ and a closed…

Curvature Sign Rigidity and Sharp Pointwise Pinching Thresholds

Almost Positive Sectional Curvature with Bounded Geometry on S2×S2

Almost Positive Sectional Curvature with Bounded Geometry on $S^{2} \times S^{2}$