Hilbert forms for a Finsler metrizable projective class of sprays

DOI10.1016/J.DIFGEO.2012.10.012zbMath1262.53064arXiv1206.7021OpenAlexW3105340774WikidataQ115356648 ScholiaQ115356648MaRDI QIDQ1940114

Tom Mestdag, Mike Crampin, David J.Saunders

Publication date: 5 March 2013

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

Full work available at URL: https://arxiv.org/abs/1206.7021

zbMATH Keywords

sprayJacobi fieldprojective equivalencepath geometrygeodesic pathFinsler functionprojective metrizabilityalmost Grassmann structureHilbert formtotally-geodesic submanifold

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (6)

Funk functions and projective deformations of sprays and Finsler spaces of scalar flag curvature ⋮ Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces ⋮ Unnamed Item ⋮ Variational Principles for Immersed Submanifolds ⋮ Generalized Helmholtz conditions for non-conservative Lagrangian systems ⋮ FINSLER METRIZABLE ISOTROPIC SPRAYS AND HILBERT’S FOURTH PROBLEM

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