A McLean theorem for the moduli space of Lie solutions to mass transport equations

DOI10.1016/J.DIFGEO.2011.08.009zbMath1226.49043arXiv1006.1334OpenAlexW2963917219WikidataQ115356783 ScholiaQ115356783MaRDI QIDQ645481

Micah W. Warren

Publication date: 15 November 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1334

zbMATH Keywords

Monge-Ampère equationsspecial Lagrangiancalibrated geometrysmooth optimal transport

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Elliptic equations on manifolds, general theory (58J05) Calibrations and calibrated geometries (53C38) Monge-Ampère equations (35J96) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (1)

Split Special Lagrangian Geometry

Cites Work

• Unnamed Item
• On the regularity of solutions of optimal transportation problems
• Lie solutions of Riemannian transport equations on compact manifolds
• Continuity, curvature, and the general covariance of optimal transportation
• Calibrated geometries
• Deformations of calibrated submanifolds
• Pseudo-Riemann geometry calibrates optimal transportation
• Regularity of potential functions of the optimal transportation problem
• Split Special Lagrangian Geometry
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• Polar factorization and monotone rearrangement of vector‐valued functions
• The moduli space of special Lagrangian submanifolds
• Optimal Transport
• Polar factorization of maps on Riemannian manifolds

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