Filling-invariants at Infinity for Manifolds of Nonpositive Curvature
نویسندگان
چکیده
In this paper we construct and study isoperimetric functions at infinity for Hadamard manifolds. These quasi-isometry invariants give a measure of the spread of geodesics in such a manifold.
منابع مشابه
Filling-invariants at Infinity for Manifolds of Nonpositive Curvature Noel Brady and Benson Farb
Homological invariants “at infinity” and (coarse) isoperimetric inequalities are basic tools in the study of large-scale geometry (see e.g., [Gr]). The purpose of this paper is to combine these two ideas to construct a family divk(X ), 0 ≤ k ≤ n − 2 , of geometric invariants for Hadamard manifolds X 1 . The divk(X ) are meant to give a finer measure of the spread of geodesics in X ; in fact the...
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