On tangent cones in Wasserstein space

Published 27 Jul 2014 in math.DG | (1407.7245v3)

Abstract: If M is a smooth compact Riemannian manifold, let P(M) denote the Wasserstein space of probability measures on M. If S is an embedded submanifold of M, and $\mu$ is an absolutely continuous measure on S, then we compute the tangent cone of P(M) at $\mu$.

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John Lott

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