Comparison Geometry With L 1-Norms of Ricci Curvature
Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 152-160
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We investigate the geometry of manifolds with bounded Ricci curvature in ${{L}^{1}}$ -sense. In particular, we generalize the classical volume comparison theorem to our situation and obtain a generalized sphere theorem.
Yun, Jong-Gug. Comparison Geometry With L 1-Norms of Ricci Curvature. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 152-160. doi: 10.4153/CMB-2006-016-2
@article{10_4153_CMB_2006_016_2,
author = {Yun, Jong-Gug},
title = {Comparison {Geometry} {With} {L} {1-Norms} of {Ricci} {Curvature}},
journal = {Canadian mathematical bulletin},
pages = {152--160},
year = {2006},
volume = {49},
number = {1},
doi = {10.4153/CMB-2006-016-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-016-2/}
}
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