14 papers
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 te…
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…