2 papers
math.SG2026
Birkhoff conjecture and finite energy foliations in Hill's lunar problem
Lei Liu, Pedro A. S. Salomão
We prove Birkhoff's retrograde orbit conjecture in Hill's lunar problem by showing that the retrograde orbit bounds a disk-like global surface of section for every energy below the…
math.DG2026
Asymptotic analysis for approximate harmonic maps from degenerating cylinders and applications to minimal surfaces
Jiayu Li, Lei Liu, Miaomiao Zhu
We investigate the blow-up analysis and quantitative behavior for a sequence of maps from degenerating tori or from degenerating cylinders $(S^1\…