Poincare inequality on complete Riemannian manifolds with Ricci curvature bounded below - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2018

Poincare inequality on complete Riemannian manifolds with Ricci curvature bounded below

Résumé

We prove that complete Riemannian manifolds with polynomial growth and Ricci curvature bounded from below, admit uniform Poincar\'e inequalities. A global, uniform Poincar\'e inequality for horospheres in the universal cover of a closed, $n$-dimensional Riemannian manifold with pinched negative sectional curvature follows as a corollary.

Dates et versions

hal-01685128 , version 1 (16-01-2018)

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Citer

Gérard Besson, Gilles Courtois, Sa'Ar Hersonsky. Poincare inequality on complete Riemannian manifolds with Ricci curvature bounded below. 2018. ⟨hal-01685128⟩
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