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Examples of noncompact nonpositively curved manifolds
Grigori Avramidi, T. Tam Nguyen Phan
We give a simple construction of new, complete, finite volume manifolds of bounded, nonpositive curvature. These manifolds have ends that look like a mixture of locally symmetr…
math.GT2017
Incompressible fillings of manifolds
Grigori Avramidi
We find boundaries of Borel-Serre compactifications of locally symmetric spaces, for which any filling is incompressible. We prove this result by showing that these boundaries have…