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An overview on the proof of the splitting theorem in non-smooth context

Differential Geometry 2013-05-22 v1 Metric Geometry

Abstract

We give a quite detailed overview on the proof of the Cheeger-Colding-Gromoll splitting theorem in the abstract framework of spaces with Riemannian Ricci curvature bounded from below.

Keywords

Cite

@article{arxiv.1305.4854,
  title  = {An overview on the proof of the splitting theorem in non-smooth context},
  author = {Nicola Gigli},
  journal= {arXiv preprint arXiv:1305.4854},
  year   = {2013}
}

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52 pages