Symplectic geometry and Hilbert's fourth problem
type: Item
instance of: scholarly article
title: Symplectic geometry and Hilbert's fourth problem
zbMATH Open document ID: 1088.53047
published in: Journal of Differential Geometry
publication date: 2006-02-07T00:00:00Z
review text: The paper under review provides a new characterization of projective Finsler metrics in terms of a class of symplectic forms on the space of lines.
reviewed by: Adrian Sandovici
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 53C70
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 5004292
zbMATH Keywords: admissible symplectic form
zbMATH Keywords: anti-symplectic involution
zbMATH Keywords: G-space
zbMATH Keywords: contact structure
zbMATH Keywords: Lagrangian immersion
zbMATH Keywords: Legendre transform
zbMATH Keywords: Legendrian fibration
zbMATH Keywords: Legendrian immersion
zbMATH Keywords: oriented geodesic
zbMATH Keywords: path
zbMATH Keywords: projective Finsler metric
zbMATH Keywords: space of geodesics
zbMATH Keywords: space of oriented lines
zbMATH Keywords: symplectic form
zbMATH Keywords: symplectic submanifold
zbMATH Keywords: tame
zbMATH Keywords: totally geodesic submanifold.
author: J. C. Álvarez Paiva
MaRDI profile type: Publication
Wikidata QID: Q115198669
full work available at URL: https://doi.org/10.4310/jdg/1121449109
OpenAlex ID: W2139437130
DOI: 10.4310/JDG/1121449109
description: scientific article; zbMATH DE number 5004292