An intrinsic parallel transport in Wasserstein space
classification
🧮 math.DG
keywords
paralleltransportgeometricsmoothspacewassersteinagreesalong
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If M is a smooth compact connected Riemannian manifold, let P(M) denote the Wasserstein space of probability measures on M. We describe a geometric construction of parallel transport of some tangent cones along geodesics in P(M). We show that when everything is smooth, the geometric parallel transport agrees with earlier formal calculations.
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