Fractional Poincar\'e inequality with finite total Q-curvature
classification
🧮 math.DG
keywords
curvaturefinitefractionalmanifoldspoincartotalaspectcomplete
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In this paper, we prove several Poincar\'e inequalities of fractional type on conformally flat manifolds with finite total Q-curvature. This shows a new aspect of the $Q$-curvature on noncompact complete manifolds.
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