Local Sobolev constant estimate for integral Ricci curvature bounds
作者: Xianzhe DaiGuofang WeiZhenlei Zhang
作者单位: 1Department of Mathematics, ECNU, Shanghai, China
2Department of Mathematics, UCSB, Santa Barbara CA 93106, United States
3Department of Mathematics, University of California, Santa Barbara CA 93106, United States
4Department of Mathematics, Capital Normal University, China
刊名: Advances in Mathematics, 2018, Vol.325 , pp.1-33
来源数据库: Elsevier Journal
DOI: 10.1016/j.aim.2017.11.024
关键词: Integral curvature boundsIsoperimetric ConstantL 2 Hessian estimates
原始语种摘要: Abstract(#br)We obtain a local Sobolev constant estimate for integral Ricci curvature, which enables us to extend several important tools such as the maximal principle, the gradient estimate, the heat kernel estimate and the L 2 Hessian estimate to manifolds with integral Ricci lower bounds, without the non-collapsing conditions.
全文获取路径: Elsevier  (合作)
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影响因子:1.373 (2012)

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关键词翻译
关键词翻译
  • curvature 曲率
  • bounds 界限
  • estimate 估计
  • constant 常数
  • integral 积分
  • gradient 倾斜度
  • kernel 
  • maximal 最大的
  • several 各自
  • collapsing 毁坏