Yipeng Wang

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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 $I^^{3}$ be a Riemannian metric on $I^£ = S^{1} \times T^{n - 2}$ , where $3 \leq n \leq 7$ . Consider $I^c ◯ = B^{2} \times T^{n - 2}$ with boundary $\partial I^c ◯ = I^£$ , and let $g$ be a Riemannian…