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math.DG2023
Asymptotic behavior of the first Dirichlet eigenvalue of AHE manifolds
Xiaoshang Jin
In this article, we investigate the rate at which the first Dirichlet eigenvalue of geodesic balls decreases as the radius approaches infinity. We prove that if the conformal infin…
math.DG2023
Rigidity for inscribed radius estimate of asymptotically hyperbolic Einstein manifold
Xiaoshang Jin
The inscribed radius of a compact manifold with boundary is bounded above if its Ricci curvature and mean curvature are bounded from below. The rigidity result implies that the upp…