Ricci Curvature on Alexandrov spaces and Rigidity Theorems

@article{Zhang2009RicciCO,
  title={Ricci Curvature on Alexandrov spaces and Rigidity Theorems},
  author={Huichun Zhang and Xiping Zhu},
  journal={arXiv: Differential Geometry},
  year={2009}
}
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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