Poincaré inequality on complete Riemannian manifolds with Ricci curvature bounded below

Gérard Besson, Gilles Courtois, Sa'ar Hersonsky

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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

Original languageEnglish
Pages (from-to)1741-1769
Number of pages29
JournalMathematical Research Letters
Volume25
Issue number6
DOIs
StatePublished - 1 Jan 2018
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)

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