Nonexistence of invariant distributions supported on the limit set
نویسنده
چکیده
Let G be a connected linear Lie group which finitely covers the isometry group of X. Furthermore, let Γ ⊂ G be a discrete subgroup. We assume that Γ is geometrically finite. We refer to Definition 2.1 for a precise explanation of this notion. If X is a real hyperbolic space, then Γ is geometrically finite iff it admits a fundamental domain with finitely many totally geodesic faces. In the other cases the definition is more complicated. Essentially, Γ is geometrically finite if the corresponding locally symmetric space Γ\X has finitely many cusps and can be compactified by adding a geodesic boundary and closing the cusps. In
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