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math.DG2013
Horospherical limit points of locally symmetric spaces
Grigori Avramidi, Dave Witte Morris
Suppose X/Gamma is an arithmetic locally symmetric space of noncompact type (with the natural metric induced by the Killing form of the isometry group of X), and let p be a point o…
math.GT2013
Fundamental groups of finite volume, bounded negatively curved 4-manifolds are not 3-manifold groups
Grigori Avramidi, T. Tam Nguyen Phan, Yunhui Wu
We study noncompact, complete, finite volume, Riemannian 4-manifolds with sectional curvature . We prove that cannot be a 3-manifold group. A classical theorem…