Projective metrizability and formal integrability

DOI10.3842/SIGMA.2011.114zbMath1244.49072arXiv1105.2142MaRDI QIDQ431413

Zoltán Muzsnay, Ioan Bucataru

Publication date: 26 June 2012

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2142

zbMATH Keywords

formal integrabilitypartial differential operatorsprojective metrizabilitysemi-basic formssprays

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (13)

Finsler geodesics of Lagrangian systems through Routh reduction ⋮ Freedom of \(h(2)\)-variationality and metrizability of sprays ⋮ Sprays metrizable by Finsler functions of constant flag curvature ⋮ The multiplier approach to the projective Finsler metrizability problem ⋮ Geometric analysis of metric Legendre foliated cocycles on contact manifolds via SODE structure ⋮ Metrizability of Holonomy Invariant Projective Deformation of Sprays ⋮ Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces ⋮ On sprays of scalar curvature and metrizability ⋮ Construction of the holonomy invariant foliated cocycles on the tangent bundle via formal integrability ⋮ An algebraic characterisation for Finsler metrics of constant flag curvature ⋮ About the projective Finsler metrizability: First steps in the non-isotropic case ⋮ Almost every path structure is not variational ⋮ Generalized Helmholtz conditions for non-conservative Lagrangian systems

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