Polar factorization of conformal and projective maps of the sphere in the sense of optimal mass transport

DOI10.1007/s11856-018-1673-5zbMath1393.49033arXiv1704.05771OpenAlexW2963515660WikidataQ112879628 ScholiaQ112879628MaRDI QIDQ1650045

Yamile Godoy, Marcos Salvai

Publication date: 29 June 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05771

zbMATH Keywords

conformal mapsoptimal mass transportpolar factorizationprojective maps

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Cites Work

• Regularity of optimal maps on the sphere: the quadratic cost and the reflector antenna
• Continuity, curvature, and the general covariance of optimal transportation
• A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
• Force free conformal motions of the sphere.
• A survey on dynamical transport distances
• Evolution models for mass transportation problems
• Force free Möbius motions of the circle
• A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
• Pseudo-Riemann geometry calibrates optimal transportation
• Force free projective motions of the sphere
• Sur le transport de mesures périodiques
• Optimal Transport
• Polar factorization of maps on Riemannian manifolds
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