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arXiv · 1407.7245

On tangent cones in Wasserstein space

John Lott
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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. 2014-07-27. On tangent cones in Wasserstein space. https://arxiv.org/abs/1407.7245

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