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Ricci curvature on alexandrov spaces and rigidity theorem

Hui-Chun Zhang Sun Yat-sen University Xi-Ping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1609.10101

Comm. Anal. Geom., 18, (3), 503–553, 2010
In this paper, we introduce a new notion for lower bounds of Ricci curvature on Alexandrov spaces, and extend Cheeger–Gromoll splitting theorem and Cheng’s maximal diameter theorem to Alexandrov spaces under this Ricci curvature condition.
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@inproceedings{hui-chun2010ricci,
  title={RICCI CURVATURE ON ALEXANDROV SPACES AND RIGIDITY THEOREM},
  author={Hui-Chun Zhang, and Xi-Ping Zhu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160910123214098274758},
  booktitle={Comm. Anal. Geom.},
  volume={18},
  number={3},
  pages={503–553},
  year={2010},
}
Hui-Chun Zhang, and Xi-Ping Zhu. RICCI CURVATURE ON ALEXANDROV SPACES AND RIGIDITY THEOREM. 2010. Vol. 18. In Comm. Anal. Geom.. pp.503–553. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160910123214098274758.
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