Second order differentiation formula on \(\mathsf{RCD}(K,N)\) spaces (Q1650250)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Second order differentiation formula on \(\mathsf{RCD}(K,N)\) spaces |
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Second order differentiation formula on \(\mathsf{RCD}(K,N)\) spaces (English)
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2 July 2018
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The authors provide a second-order differentiation formula along geodesics in finite-dimensional \(\text{RCD}(K, N)\) spaces. The approach relies primarily on the approximation of \(W_2\)-geodesics by entropic interpolations and, in order to implement this approximation procedure, on the proof of new estimates for such interpolations.
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optimal transport
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metric geometry
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RCD spaces
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entropic interpolation
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Schrödinger problem
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