3 papers
math.DG2025
On the PPW Conjecture For Hopf-symmetric Sets In Non-compact Rank One Symmetric Space
Yusen Xia
In this paper, we proved that for a bounded Hopf-symmetric domain in a noncompact rank one symmetric space , the second Dirichlet eigenvalue whe…
math.MG2024
A New Linear Programming Method in Sphere Packing
Qun Mo, Jinming Wen, Yu Xia
Inspired by the linear programming method developed by Cohn and Elkies (Ann. Math. 157(2): 689-714, 2003), we introduce a new linear programming method to solve the sphere packing…
math.MG2024
The Tammes Problem in and Linear Programming Method
Yanlu Lian, Qun Mo, Yu Xia
The Tammes problem delves into the optimal arrangement of points on the surface of the -dimensional unit sphere (denoted as ), aiming to maximize the minim…