2 papers
math.DG2026
Large -Capacitary Invariants, Entropy, and Geometric Rank
Xiaoshang Jin, Jiabin Yin
We introduce large- asymptotic invariants associated with the -capacity, the first -eigenvalue, and the Maz'ya constant on connected complete noncompact Riemannian manifol…
math.DG2026
On compactness conformally compact Einstein manifolds and uniqueness of Graham-Lee metrics, III
Sun-Yung A. Chang, Yuxin Ge, Xiaoshang Jin +1
In this paper, we establish a compactness result for a class of conformally compact Einstein metrics defined on manifolds of dimension . As an application, we derive the gl…