Yipeng Wang

collaborators

3 papers

math.DG2025

Rigidity Results Involving Stabilized Scalar Curvature

Yipeng Wang

We establish a rigidity theorem for Brendle and Hung's recent systolic inequality, which involves Gromov's notion of $T^{\rtimes}$-stabilized scalar curvature. Our primary techni…

math.DG2024

Fill-Ins of Tori with Scalar Curvature Bounded from Below

Yipeng Wang

Let $γ$ be a Riemannian metric on $Σ = S^{1} \times T^{n - 2}$ , where $3 \leq n \leq 7$ . Consider $Ω = B^{2} \times T^{n - 2}$ with boundary $\partial Ω = Σ$ , and let $g$ be a Riemannian metr…

math.DG2024

Effective volume growth of three-manifolds with positive scalar curvature

Yipeng Wang

In this note, we prove an effective linear volume growth for complete three-manifolds with non-negative Ricci curvature and uniformly positive scalar curvature. This recovers the r…