A note on flatness of non separable tangent cone at a barycenter
Given a probability measure $\mathbf{P}$ on an Alexandrov space $S$ with curvature bounded below, we prove that the support of the pushforward of $\mathbf{P}$ on the tangent cone $T_{b^\star }S$ at its (exponential) barycenter $b^\star $ is a subset of a Hilbert space, without separability of the ta...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.66/ |