Fractional Poincaré inequality with finite total $Q$-curvature

Yannick Sire; Yi Wang

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arXiv · 1601.00100

Fractional Poincaré inequality with finite total $Q$-curvature

Yannick Sire·Yi Wang

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Abstract

In this paper, we prove several Poincaré 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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Yannick Sire, Yi Wang. 2016-01-01. Fractional Poincaré inequality with finite total $Q$-curvature. https://arxiv.org/abs/1601.00100

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