1 citations · 1 across the 22 of their papers we have counts for
22 papers
Small Normal Curvature and Three-Manifold Topology
Tsz-Kiu Aaron Chow, Jingbo Wan
For , we prove that every smooth immersion satisfies , with equality only for the V…
Scalar Curvature Flexibility in the Riemannian Burnett Compactness Class
Jingbo Wan
Let be a connected smooth -manifold without boundary, where , and let , with if is open. We prove that every smooth Riemannian metric $g…
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…
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…
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…
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 -form curvature condition, formulated by the Weitzenböck curvature ter…
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…
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 --body system, with independently prescribed ADM energy, line…
Cauchy data for multiple collapsing boson stars
Elena Giorgi, Dawei Shen, Jingbo Wan
We construct Cauchy initial data for the Einstein-Maxwell-Klein-Gordon (EMKG) system, which evolves in finite time into spacetimes containing multiple trapped surfaces. From a phys…
Einstein-Maxwell Equations on Mass-Centered GCM Hypersurfaces
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
The resolution of the nonlinear stability of black holes as solutions to the Einstein equations relies crucially on imposing the right geometric gauge conditions. In the vacuum cas…
Mass-Centered GCM Framework in Perturbations of Kerr(-Newman)
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
The nonlinear stability problem for black hole solutions of the Einstein equations critically depends on choosing an appropriate geometric gauge. In the vacuum setting, the use of…
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 () and codimension (), for any odd integer .…
Formation of multiple Black Holes from Cauchy data
Dawei Shen, Jingbo Wan
We construct a family of asymptotically flat Cauchy initial data for the Einstein vacuum equations that contain no trapped surfaces, yet whose future development admits multiple ca…
Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system
Dawei Shen, Jingbo Wan
In this paper, we prove a scale-critical trapped surface formation result for the Einstein--Maxwell--charged scalar field (EMCSF) system, without any symmetry assumptions. Specific…
A canonical foliation on null infinity in perturbations of Kerr
Sergiu Klainerman, Dawei Shen, Jingbo Wan
Kerr stability for small angular momentum has been proved in the series of works by Klainerman-Szeftel, Giorgi-Klainerman-Szeftel and Shen. Some of the most basic conclusions of th…
Boundedness and Decay for the Teukolsky System in Kerr-Newman Spacetime II: The Case , in Axial Symmetry
Elena Giorgi, Jingbo Wan
We establish boundedness and polynomial decay results for the Teukolsky system in the exterior spacetime of very slowly rotating and strongly charged sub-extremal Kerr-Newman black…
Sharp Interior Gradient Estimate for Area Decreasing Graphical Mean Curvature Flow in Arbitrary Codimension
Jingbo Wan
We prove the sharp interior gradient estimate for area decreasing graphical mean curvature flow in arbitrary codimension, which generalizes the result in \cite{CM}.
Rigidity of area non-increasing maps
Man-Chun Lee, Luen-Fai Tam, Jingbo Wan
In this work, we consider the area non-increasing map between manifolds with positive curvature. By exploring the strong maximum principle along the graphical mean curvature flow,…
Rigidity of contracting map using harmonic map heat flow
Man-Chun Lee, Jingbo Wan
Motivated by a question of Tsai-Tsui-Wang, we consider the rigidity of map from manifolds with positive Ricci curvature to manifolds with positive sectional curvature. We show that…
Preserving positive intermediate curvature
Tsz-Kiu Aaron Chow, Florian Johne, Jingbo Wan
Consider a compact manifold (with or without boundary) of dimension . Positive -intermediate curvature interpolates between positive Ricci curvature () and positiv…
Physical-space estimates for axisymmetric waves on extremal Kerr spacetime
Elena Giorgi, Jingbo Wan
We study axisymmetric solutions to the wave equation on extremal Kerr backgrounds and obtain integrated local energy decay (or Morawetz estimates) through an analysis \textit{exclu…
Uniqueness Theorems of Self-Conformal Solutions to Inverse Curvature Flows
Nicholas Cheng-Hoong Chin, Frederick Tsz-Ho Fong, Jingbo Wan
It has been known in that round spheres are the only closed homothetic self-similar solutions to the inverse mean curvature flow and parabolic curvature flows by degree -1 homogene…