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math.DG2006★ 3 cited
Some geometric calculations on Wasserstein space
John Lott
We compute the Riemannian connection and curvature for the Wasserstein space of a smooth compact Riemannian manifold.
math.DG2006
The Hamilton-Jacobi semigroup on length spaces and applications
John Lott, Cedric Villani
We define a Hamilton-Jacobi semigroup acting on continuous functions on a compact length space. Following a strategy of Bobkov, Gentil and Ledoux, we use some basic properties of t…