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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.DG1992
Generalizing the hyperbolic collar lemma
Ara Basmajian
We discuss two generalizations of the collar lemma. The first is the stable neighborhood theorem which says that a (not necessarily simple) closed geodesic in a hyperbolic surface…