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math.DG2023
Tubes and Steklov eigenvalues in negatively curved manifolds
Ara Basmajian, Jade Brisson, Asma Hassannezhad +1
We consider the Steklov eigenvalue problem on a compact pinched negatively curved manifold of dimension at least three with totally geodesic boundaries. We obtain a geometric l…
math.GT2023
Low-lying geodesics on the modular surface and necklaces
Ara Basmajian, Mingkun Liu
The m-thick part of the modular surface X is the smallest compact subsurface of X with horocycle boundary containing all the closed geodesics which wind around the cusp at most m t…