Poincar\'e inequality on complete Riemannian manifolds with Ricci curvature bounded below
MATHEMATICAL RESEARCH LETTERS(2018)
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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