The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics
Fuente:
arXiv
Saved in:
| Main Authors: | Bauer, Martin, Michor, Peter W., Vialard, François-Xavier |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Sobolev metrics on spaces of manifold valued curves
by: Bauer, Martin, et al.
Published: (2020)
by: Bauer, Martin, et al.
Published: (2020)
Completeness and geodesic distance properties for fractional Sobolev metrics on spaces of immersed curves
by: Bauer, Martin, et al.
Published: (2023)
by: Bauer, Martin, et al.
Published: (2023)
Low-energy $α$-harmonic maps into the round sphere
by: Sharp, Ben
Published: (2024)
by: Sharp, Ben
Published: (2024)
On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting
by: Ahmedou, Mohameden, et al.
Published: (2024)
by: Ahmedou, Mohameden, et al.
Published: (2024)
Remarks on Hessian quotient equations on Riemannian manifolds
by: Sroka, Marcin
Published: (2025)
by: Sroka, Marcin
Published: (2025)
Relative heat content asymptotics for sub-Riemannian manifolds
by: Agrachev, Andrei, et al.
Published: (2021)
by: Agrachev, Andrei, et al.
Published: (2021)
Non-preservation of concavity properties by the Dirichlet heat flow on Riemannian manifolds
by: Ishige, Kazuhiro, et al.
Published: (2024)
by: Ishige, Kazuhiro, et al.
Published: (2024)
A Calderón's problem for harmonic maps
by: Muñoz-Thon, Sebastián
Published: (2024)
by: Muñoz-Thon, Sebastián
Published: (2024)
Geometric Integration by Parts and Sobolev Spaces on Vector Bundles: A Unified Global Approach
by: Daniel, Velázquez-Mendoza Carlos, et al.
Published: (2026)
by: Daniel, Velázquez-Mendoza Carlos, et al.
Published: (2026)
Lie Transformation Groups -- An Introduction to Symmetry Group Analysis of Differential Equations
by: Kunzinger, Michael
Published: (2015)
by: Kunzinger, Michael
Published: (2015)
Sharp Sobolev inequalities on noncompact Riemannian manifolds with bounded Ricci curvature
by: Morpurgo, Carlo, et al.
Published: (2026)
by: Morpurgo, Carlo, et al.
Published: (2026)
Completeness of reparametrization-invariant Sobolev metrics on the space of surfaces
by: Bauer, Martin, et al.
Published: (2025)
by: Bauer, Martin, et al.
Published: (2025)
Sharp Sobolev and Moser-Trudinger inequalities on noncompact Riemannian manifolds with Ricci curvature bounded below
by: Morpurgo, Carlo, et al.
Published: (2026)
by: Morpurgo, Carlo, et al.
Published: (2026)
$SU(2)$ Yang-Mills-Higgs functional with Higgs self-interaction on $3$-manifolds
by: Cheng, Da Rong, et al.
Published: (2025)
by: Cheng, Da Rong, et al.
Published: (2025)
Uniform estimates for a family of Poisson problems: `rounding off the corners'
by: Daniel, Benoît, et al.
Published: (2024)
by: Daniel, Benoît, et al.
Published: (2024)
On Eisenhart's type theorem for sub-Riemannian metrics on step $2$ distributions with $\mathrm{ad}$-surjective Tanaka symbols
by: Lin, Zaifeng, et al.
Published: (2023)
by: Lin, Zaifeng, et al.
Published: (2023)
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces
by: Fernández, Juan Carlos, et al.
Published: (2025)
by: Fernández, Juan Carlos, et al.
Published: (2025)
Uniform, localized asymptotics for sub-Riemannian heat kernels, their logarithmic derivatives, and associated diffusion bridges
by: Neel, Robert W., et al.
Published: (2020)
by: Neel, Robert W., et al.
Published: (2020)
Gradient estimates of nonlinear equation on complete noncompact metric measure space with compact boundary
by: Cao, Xiangzhi
Published: (2022)
by: Cao, Xiangzhi
Published: (2022)
Nonexistence of Solutions to classes of parabolic inequalities in the Riemannian setting
by: von Criegern, Dorothea-Enrica, et al.
Published: (2025)
by: von Criegern, Dorothea-Enrica, et al.
Published: (2025)
Gradient estimates for the porous medium type equations and fast diffusion type equations on complete noncompact metric measure space with compact boundary
by: Cao, Xiangzhi
Published: (2022)
by: Cao, Xiangzhi
Published: (2022)
A characterization of Pfaffian embeddings from (2, 3, 5)- into flat (4, 7)-geometries
by: McMillan, Benjamin
Published: (2024)
by: McMillan, Benjamin
Published: (2024)
Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres
by: Caju, Rayssa, et al.
Published: (2024)
by: Caju, Rayssa, et al.
Published: (2024)
The space of rough Riemannian metrics
by: Bandara, Lashi, et al.
Published: (2025)
by: Bandara, Lashi, et al.
Published: (2025)
Frobenius theorem and fine structure of tangency sets to non-involutive distributions
by: Alberti, Giovanni, et al.
Published: (2025)
by: Alberti, Giovanni, et al.
Published: (2025)
Moduli Space of Bi-Invariant Metrics
by: Torres, Juan Flores
Published: (2023)
by: Torres, Juan Flores
Published: (2023)
A Geometric flow towards hamiltonian stationary submanifolds
by: Chen, Jingyi, et al.
Published: (2024)
by: Chen, Jingyi, et al.
Published: (2024)
On a Complete Riemannian Metric on the Space of Embedded Curves
by: Döhrer, Elias, et al.
Published: (2025)
by: Döhrer, Elias, et al.
Published: (2025)
Lipschitz regularity for manifold-constrained ROF elliptic systems
by: Cabezas-Rivas, Esther, et al.
Published: (2024)
by: Cabezas-Rivas, Esther, et al.
Published: (2024)
Tangency sets of non-involutive distributions and unrectifiability in Carnot-Carathéodory spaces
by: Alberti, Giovanni, et al.
Published: (2025)
by: Alberti, Giovanni, et al.
Published: (2025)
Nonlocal pseudosymmetries and Bäcklund transformations as $\mathcal{C}$-morphisms
by: Ferraioli, Diego Catalano, et al.
Published: (2025)
by: Ferraioli, Diego Catalano, et al.
Published: (2025)
Lipschitz regularity of harmonic map heat flows into $CAT(0)$ spaces
by: Zhang, Hui-Chun, et al.
Published: (2026)
by: Zhang, Hui-Chun, et al.
Published: (2026)
Conservation law of harmonic mappings in supercritical dimensions
by: Guo, Chang-Yu, et al.
Published: (2023)
by: Guo, Chang-Yu, et al.
Published: (2023)
Super Log-concavity of the First Eigenfunctions for Horo-convex Domains in Hyperbolic Space
by: Wei, Guofang, et al.
Published: (2025)
by: Wei, Guofang, et al.
Published: (2025)
An end to end gluing construction for metrics of constant Q-curvature
by: Aiken, A. Sophie, et al.
Published: (2025)
by: Aiken, A. Sophie, et al.
Published: (2025)
Harmonic Riemannian submersions between Riemannian symmetric spaces of noncompact type
by: Burstall, F. E.
Published: (2024)
by: Burstall, F. E.
Published: (2024)
Radial Sobolev embeddings on spherically symmetric Riemannian manifolds
by: Ó, João Marcos do, et al.
Published: (2026)
by: Ó, João Marcos do, et al.
Published: (2026)
Smoothness of conformal heat flow of harmonic maps
by: Park, Woongbae
Published: (2023)
by: Park, Woongbae
Published: (2023)
Constructing entire minimal graphs by evolving planes
by: Tsai, Chung-Jun, et al.
Published: (2025)
by: Tsai, Chung-Jun, et al.
Published: (2025)
Stochastic perturbation of geodesics on the manifold of Riemannian metrics
by: Cruzeiro, Ana Bela, et al.
Published: (2025)
by: Cruzeiro, Ana Bela, et al.
Published: (2025)
Similar Items
-
Sobolev metrics on spaces of manifold valued curves
by: Bauer, Martin, et al.
Published: (2020) -
Completeness and geodesic distance properties for fractional Sobolev metrics on spaces of immersed curves
by: Bauer, Martin, et al.
Published: (2023) -
Low-energy $α$-harmonic maps into the round sphere
by: Sharp, Ben
Published: (2024) -
On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting
by: Ahmedou, Mohameden, et al.
Published: (2024) -
Remarks on Hessian quotient equations on Riemannian manifolds
by: Sroka, Marcin
Published: (2025)