Hedlund metrics and the stable norm

DOI10.1016/j.difgeo.2009.01.012zbMath1171.58004arXiv0806.3499OpenAlexW1993988996WikidataQ115357317 ScholiaQ115357317MaRDI QIDQ838021

Madeleine Jotz Lean

Publication date: 21 August 2009

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

Full work available at URL: https://arxiv.org/abs/0806.3499

zbMATH Keywords

polytopesstable normRiemannian metrics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differential forms in global analysis (58A10) Critical metrics (58E11) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Calibrations and calibrated geometries (53C38) Methods of local Riemannian geometry (53B21) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (3)

Effective Fronts of Polygon Shapes in Two Dimensions ⋮ Constructing metrics on a 2-torus with a partially prescribed stable norm ⋮ Effective fronts of polytope shapes

Cites Work

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• On the form of the unit ball of the one-dimensional stable norm
• Stable norms of non-orientable surfaces
• Stable norms of surfaces: local structure of the unit ball at rational directions
• Minimal geodesics
• Introduction to Topological Manifolds
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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