Jingbo Wan

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20182026

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10 papers · 1 filter

math.DG2026

Small Normal Curvature and Three-Manifold Topology

Tsz-Kiu Aaron Chow, Jingbo Wan

For $m = 2, 3$ , we prove that every smooth immersion $F : R P^{m} ↬ B^{, N} (1)$ satisfies $κ (F)^{2} \geq 2 m / (m + 1)$ , with equality only for the V…

math.DG2026

Scalar Curvature Flexibility in the Riemannian Burnett Compactness Class

Jingbo Wan

Let $M$ be a connected smooth $n$ -manifold without boundary, where $n \geq 3$ , and let $κ \in R$ , with $κ \leq 0$ if $M$ is open. We prove that every smooth Riemannian metric $g…

math.DG2026

Rigidity of positive mass theorem with fast metric decay

Jianchun Chu, Man-Chun Lee, Jingbo Wan

In this work, we consider metrics on Euclidean space with nonnegative scalar curvature and rapid decay at infinity. We show that, in dimensions four and higher, any such metric is…

math.DG2026

Maximal Normal Curvature and Veronese Rigidity

Tsz-Kiu Aaron Chow, Jingbo Wan

We prove a sharp Veronese rigidity theorem for closed immersed submanifolds of the Euclidean unit ball under intrinsic harmonic-structure assumptions. For an isometric immersion $F…

math.DG2026

Sharp focal radius estimate and rigidity of hypersurfaces in manifolds with positive curvature

Tsz-Kiu Aaron Chow, Jingbo Wan

We prove a sharp Clifford-threshold focal-radius estimate and rigidity for immersed hypersurfaces. Under a $p$ -form curvature condition, formulated by the Weitzenböck curvature ter…

math.DG2025

Constructing entire minimal graphs by evolving planes

Chung-Jun Tsai, Mao-Pei Tsui, Jingbo Wan +1

We introduce an evolving-plane ansatz for the explicit construction of entire minimal graphs of dimension $n$ ( $n \geq 3$ ) and codimension $m$ ( $m \geq 2$ ), for any odd integer $n$ .…