Fractional Poincaré inequality with finite total Q-curvature

被引:0
|
作者
Yannick Sire
Yi Wang
机构
[1] Johns Hopkins University,Department of Mathematics
关键词
Primary 53A30; Secondary 53C21;
D O I
暂无
中图分类号
学科分类号
摘要
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.
引用
收藏
相关论文
共 50 条
  • [21] SCALAR CURVATURE AND Q-CURVATURE OF RANDOM METRICS
    Canzani, Yaiza
    Jakobson, Dmitry
    Wigman, Igor
    ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES, 2010, 17 : 43 - 56
  • [22] Scalar Curvature and Q-Curvature of Random Metrics
    Canzani, Yaiza
    Jakobson, Dmitry
    Wigman, Igor
    JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (04) : 1982 - 2019
  • [23] Scalar Curvature and Q-Curvature of Random Metrics
    Yaiza Canzani
    Dmitry Jakobson
    Igor Wigman
    The Journal of Geometric Analysis, 2014, 24 : 1982 - 2019
  • [24] A NOTE ON PRESCRIBED Q-CURVATURE
    Li, Mingxiang
    PACIFIC JOURNAL OF MATHEMATICS, 2022, 319 (01) : 181 - 188
  • [25] The total Q-curvature, volume entropy and polynomial growth polyharmonic functions
    Li, Mingxiang
    ADVANCES IN MATHEMATICS, 2024, 450
  • [26] Complete Metrics with Constant Fractional Higher Order Q-Curvature on the Punctured Sphere
    João Henrique Andrade
    Juncheng Wei
    Zikai Ye
    The Journal of Geometric Analysis, 2024, 34
  • [27] On the prescribed Q-curvature problem on Sn
    Chtioui, Hichem
    Rigane, Afef
    COMPTES RENDUS MATHEMATIQUE, 2010, 348 (11-12) : 635 - 638
  • [28] Complete Metrics with Constant Fractional Higher Order Q-Curvature on the Punctured Sphere
    Andrade, Joao Henrique
    Wei, Juncheng
    Ye, Zikai
    JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (01)
  • [29] EXISTENCE RESULTS FOR THE FRACTIONAL Q-CURVATURE PROBLEM ON THREE DIMENSIONAL CR SPHERE
    Liu, Chungen
    Wang, Yafang
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (03) : 849 - 885
  • [30] CONSTANT Q-CURVATURE METRICS WITH A SINGULARITY
    Koenig, Tobias
    Laurain, Paul
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 375 (04) : 2915 - 2948