3 papers
math.DG2024
On effective uniformization of 2-sphere and the stability
Pengyu Le
We provide a proof of effective uniformization for nearly round 2-spheres, utilizing an identity related to the third-order differential of the conformal factor. This identity is c…
math.DG2024
Lorentz polarisation and isoperimetric inequality in Minkowski spacetime
Pengyu Le
In this paper, we prove an isoperimetric inequality for the domain of dependence of a finite lightcone in the Minkowski spacetime of dimension greater than or equal to 3. The inequ…
math.DG2024
Global existence and geometry of constant mass aspect function foliation in perturbed Schwarzschild spacetime
Pengyu Le
The constant mass function foliation has been shown useful for studying the null Penrose inequality on a null hypersurface, because of the monotonicity formula of Hawking mass alon…