On isometries of compact \(L^p\)-Wasserstein spaces
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Publication:2089046
DOI10.1016/j.aim.2022.108632zbMath1504.53057arXiv2102.08725OpenAlexW4293153618MaRDI QIDQ2089046
Publication date: 6 October 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.08725
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Differential geometry of symmetric spaces (53C35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (2)
Isometric rigidity of Wasserstein tori and spheres ⋮ Quantum Wasserstein isometries on the qubit state space
Cites Work
- Unnamed Item
- Lévy isometries of the space of probability distribution functions
- Lectures on analysis on metric spaces
- On quotients of spaces with Ricci curvature bounded below
- Isometries of probability measures with respect to the total variation distance
- On isometric embeddings of Wasserstein spaces -- the discrete case
- Transport maps, non-branching sets of geodesics and measure rigidity
- A Geometric Study of Wasserstein Spaces: Isometric Rigidity in Negative Curvature
- Maps on probability measures preserving certain distances — a survey and some new results
- Isometric study of Wasserstein spaces – the real line
- Polar factorization and monotone rearrangement of vector‐valued functions
- A GEOMETRIC STUDY OF WASSERSTEIN SPACES: HADAMARD SPACES
- A Geometric study of Wasserstein spaces: Euclidean spaces
- A characterisation of isometries with respect to the Lévy-Prokhorov metric
- Optimal Transport
- Polar factorization of maps on Riemannian manifolds
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