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math.DG2013★ 8 cited
An overview on the proof of the splitting theorem in non-smooth context
Nicola Gigli
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 bel…
math.DG2013★ 1 cited
Optimal maps and exponentiation on finite dimensional spaces with Ricci curvature bounded from below
Nicola Gigli, Tapio Rajala, Karl-Theodor Sturm
We prove existence and uniqueness of optimal maps on spaces under the assumption that the starting measure is absolutely continuous. We also discuss how this result na…