Fractional Poincar\'e inequality with finite total $Q$-curvature
Differential Geometry
2016-01-05 v1
Abstract
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 -curvature on noncompact complete manifolds.
Keywords
Cite
@article{arxiv.1601.00100,
title = {Fractional Poincar\'e inequality with finite total $Q$-curvature},
author = {Yannick Sire and Yi Wang},
journal= {arXiv preprint arXiv:1601.00100},
year = {2016}
}
Comments
22 pages. arXiv admin note: text overlap with arXiv:1306.1841