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arxiv: math/0305107 · v1 · submitted 2003-05-07 · 🧮 math.DS

Lemme de l'Ombre et non divergence des horosph\`eres d'une vari\'et\'e g\'eom\'etriquement finie

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keywords divergencemanifoldscurvaturededuceeresetriquementfiniefinite
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In this work, we prove the so-called "Shadow lemma" on geometrically finite manifolds of variable negative curvature. We deduce a result of non divergence of the horospheres of such manifolds.

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