Symplectic geometry and Hilbert's fourth problem

DOI10.4310/jdg/1121449109zbMath1088.53047OpenAlexW2139437130WikidataQ115198669 ScholiaQ115198669MaRDI QIDQ814650

Juan Carlos Álvarez Paiva

Publication date: 7 February 2006

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1121449109

zbMATH Keywords

tamecontact structuresymplectic formLegendre transformpathG-spaceLagrangian immersionanti-symplectic involutionoriented geodesicLegendrian immersionspace of oriented linessymplectic submanifoldspace of geodesicsadmissible symplectic formLegendrian fibrationprojective Finsler metrictotally geodesic submanifold.

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Special maps on metric spaces (54E40) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

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