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math.DG2025
Spectral gaps for noncompact hyperbolic surfaces with linearly many cusps
Qi Guo, Bobo Hua, Yang Shen
We construct complete finite-area noncompact hyperbolic surfaces with linearly many cusps and a uniform spectral gap. More precisely, for every \(θ>0\), we construct a sequence \(S…
math.SP2025
Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary
Bobo Hua, Yang Shen
In this paper, we study the Steklov eigenvalue of a Riemannian manifold (M, g) with smooth boundary. For compact M , we establish a Cheeger-type inequality for the first Steklov ei…