On the definition and examples of cones and Finsler spacetimes

MA Javaloyes, M Sánchez - Revista de la Real Academia de Ciencias …, 2020 - Springer
A systematic study of (smooth, strong) cone structures CC and Lorentz–Finsler metrics L is
carried out. As a link between both notions, cone triples (Ω, T, F)(Ω, T, F), where Ω Ω (resp. T) …

Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type

W Sarlet, G Prince, T Mestdag… - Journal of Physics A …, 2012 - iopscience.iop.org
We extend the results obtained in Sarlet and Prince (2010 J. Phys. A: Math. Theor. 43
445204) about a class of Lagrangian systems which admit alternative kinetic energy metrics …

Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations

O Constantinescu - … . Symmetry, Integrability and Geometry: Methods and …, 2012 - emis.de
We address the integrability conditions of the inverse problem of the calculus of variations
for time-dependent SODE using the Spencer version of the Cartan-Kähler theorem. We …

Adjoint symmetries for graded vector fields

E Azizpour, DM Atayi - Note di Matematica, 2019 - siba-ese.unisalento.it
Abstract Suppose that {\mathcal {M}}=(M,{\mathcal A} _M) is a graded manifold and consider
a direct subsheaf\cd of {Der {\mathcal A} _M} and a graded vector field\Gamma on {\mathcal …

[PDF][PDF] Geometric structures for differential equations fields Habilitation thesis

I Bucataru - 2012 - math.uaic.ro
În ultimele decenii sa publicat un număr impresionant de lucrări în care se urmăreşte
obţinerea unor informaţii calitative despre soluţiile unui sistem (ne-) autonom de ecuaţii …