Comparison Geometry With$L^1$-Norms of Ricci Curvature

Canadian mathematical bulletin

关键词: Mean curvature;    Ricci curvature;   

DOI  :  10.4153/CMB-2006-016-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We investigate the geometry of manifolds with bounded Riccicurvature in $L^1$-sense. In particular, we generalize theclassical volume comparison theorem to our situation and obtain ageneralized sphere theorem.

【 授权许可】

Unknown