The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics | Paper Citation Record

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics American Mathematical Society and Oxford University Press, 2000

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This paper cites A Riemannian viewpoint on the Amari-Cencov $\alpha$-connections and Proudman-Johnson equations.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics A Riemannian viewpoint on the Amari-Cencov $\alpha$-connections and Proudman-Johnson equations

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This paper cites Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics.Communications in Mathematical Physics, 389(2):899–931, 2022.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics.Communications in Mathematical Physics, 389(2):899–931, 2022

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This paper cites A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem.Numerische Mathematik, 84(3):375–393, 2000.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem.Numerische Mathematik, 84(3):375–393, 2000

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This paper cites Iterative bregman projections for regularized transportation problems.SIAM Journal on Scientific Computing, 37(2):A1111–A1138, 2015.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Iterative bregman projections for regularized transportation problems.SIAM Journal on Scientific Computing, 37(2):A1111–A1138, 2015

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This paper cites Entropic Semi-Martingale Optimal Transport.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Entropic Semi-Martingale Optimal Transport

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Princeton Series in Applied Mathematics

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics On the Bures–Wasserstein distance between positive definite matrices

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This paper cites The least action principle and the related concept of generalized flows for incompressible perfect fluids.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics The least action principle and the related concept of generalized flows for incompressible perfect fluids

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Examples of hidden convexity in nonlinear PDEs

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This paper cites On optimal transport of matrix-valued measures.SIAM Journal on Mathematical Analysis, 52(3):2849–2873, 2020.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics On optimal transport of matrix-valued measures.SIAM Journal on Mathematical Analysis, 52(3):2849–2873, 2020

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics On the matrix Monge–Kantorovich problem

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Georgiou, and Allen Tannenbaum

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Georgiou, and Allen Tannenbaum

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This paper cites An interpolating distance between optimal transport and Fisher–Rao metrics.Foundations of Computational Mathematics, 18(1):1–44, 2018.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics An interpolating distance between optimal transport and Fisher–Rao metrics.Foundations of Computational Mathematics, 18(1):1–44, 2018

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This paper cites Unbalanced optimal transport: Dynamic and Kantorovich formulations.Journal of Functional Analysis, 274(11):3090–3123, 2018.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Unbalanced optimal transport: Dynamic and Kantorovich formulations.Journal of Functional Analysis, 274(11):3090–3123, 2018

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This paper cites The metric geometry of the manifold of Riemannian metrics over a closed manifold.Calc.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics The metric geometry of the manifold of Riemannian metrics over a closed manifold.Calc

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This paper cites The completion of the manifold of Riemannian metrics.J.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics The completion of the manifold of Riemannian metrics.J

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This paper cites Geodesics, distance, and the CAT(0) property for the manifold of Riemannian metrics.Math.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Geodesics, distance, and the CAT(0) property for the manifold of Riemannian metrics.Math

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Rubinstein

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This paper cites The infimal convolution structure of the Hellinger-Kantorovich distance.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics The infimal convolution structure of the Hellinger-Kantorovich distance

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics The manifold of Riemannian metrics

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Ebin and Jerrold Marsden

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics PhD thesis, Massachusetts Institute of Technology, 1967

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Eliashberg and L

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This paper cites The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group.The Michigan Mathematical Journal, 36(3):323–344, 1989.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group.The Michigan Mathematical Journal, 36(3):323–344, 1989

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Generalized compressible flows and solutions of the H(div) geodesic problem.Archive for Rational Mechanics and Analysis, 235(3):1707–1762, 2020

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Jerrard and C

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Jerrard and C

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Objective rates as covariant derivatives on the manifold of Riemannian metrics

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups.J

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Optimal transport in competition with reaction: The Hellinger– Kantorovich distance and geodesic curves.SIAM Journal on Mathematical Analysis, 48(4):2869–2911, 2016

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics A remark on vanishing geodesic distances in infinite dimensions.Proceedings of the American Mathematical Society, 148(8):3653–3656, 2020

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Marsden and Thomas J

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Michor and David Mumford

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics A Riemannian framework for tensor computing.International Journal of Computer Vision, 66(1):41–66, 2006

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The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Now Publishers, 2019

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Observation f1f60dbb-5beb-4a6f-a005-a925288f7e64 · outbound

This paper cites Generalized Wasserstein distance and its application to transport equations with source.Archive for Rational Mechanics and Analysis, 211(1):335–358, 2014.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Generalized Wasserstein distance and its application to transport equations with source.Archive for Rational Mechanics and Analysis, 211(1):335–358, 2014

Reference 53

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Observation 9ffad3c3-6202-48f1-9dd8-528010919ab4 · outbound

This paper cites The Unbalanced Gromov–Wasserstein distance: Conic formulation and relaxation.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics The Unbalanced Gromov–Wasserstein distance: Conic formulation and relaxation

Reference 54

Resolution: unresolved; no resolver link, observed 2026-06-29T15:58:12.383680Z

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Observation 0b5c5c98-0969-4bfc-a6ef-90be00c6df34 · outbound

This paper cites American Mathematical Society, Providence, RI, 2003.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics American Mathematical Society, Providence, RI, 2003

Reference 55

Resolution: unresolved; no resolver link, observed 2026-06-29T15:58:12.383680Z

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Observation c7671122-6b33-4fca-a602-4a0d66c88bb4 · outbound

This paper cites Springer, Berlin, 2009.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Springer, Berlin, 2009

Reference 56

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Observation 33849cbb-80b9-41a4-ab1d-59acdb0698b7 · outbound

This paper cites Elastic shape analysis of planar objects using tensor field representations.Journal of Mathematical Imaging and Vision, 63(9):1204–1221, 2021.

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics Elastic shape analysis of planar objects using tensor field representations.Journal of Mathematical Imaging and Vision, 63(9):1204–1221, 2021

Reference 57

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