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

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.

52 pages

References in corpus (3)

• Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
• Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure
• The splitting theorem in non-smooth context

Cited by in corpus (2)

• On the topology and the boundary of N-dimensional RCD(K,N) spaces
• Maximal bottom of spectrum or volume entropy rigidity in Alexandrov geometry