Poincar\'e inequality on complete Riemannian manifolds with Ricci curvature bounded below

MATHEMATICAL RESEARCH LETTERS(2018)

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