Jingbo Wan

activity

20182026

most citedPhysical-space estimates for axisymmetric waves on extremal Kerr spacetime

1 citations · 1 across the 22 of their papers we have counts for

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8 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.AP2026

Wave decay and horizon instability on strongly charged extremal Kerr-Newman black holes

Allen Juntao Fang, Elena Giorgi, Jingbo Wan

We prove the first boundedness and pointwise decay result for the scalar wave equation on rotating extremal black holes without any symmetry assumptions. The result applies to slow…

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.AP2026

Vacuum initial data with minimal decay and borderline decay

Dawei Shen, Jingbo Wan

In this note, we show that the conical solution-operator method of Mao-Tao in [Localized initial data for Einstein equations] applies to a simple construction of vacuum asymptotica…

gr-qc2026

Cauchy Data for Formation of Multiple Black Holes with Prescribed ADM Parameters

Dawei Shen, Jingbo Wan

We give a simple construction of smooth, asymptotically flat vacuum initial data modeling a relativistic collapsing $N$ --body system, with independently prescribed ADM energy, line…