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math.DG2026
Dirichlet eigenvalue asymptotics on conformally compact Einstein manifolds
Xiaoshang Jin
We study the first Dirichlet eigenvalues of large geodesic balls and fixed-width boundary layers on conformally compact Einstein manifolds of dimension For large balls, we d…
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…