21 citations · 38 across the 9 of their papers we have counts for
9 papers
Finsler metrizabilities and geodesic invariance
Ioan Bucataru, Oana Constantinescu
We prove that various Finsler metrizability problems for sprays can be reformulated in terms of the geodesic invariance of two tensors (metric and angular). We show that gyroscopic…
First integrals for Finsler metrics with vanishing -curvature
Ioan Bucataru, Oana Constantinescu, Georgeta Cretu
We prove that in a Finsler manifold with vanishing -curvature (in particular with constant flag curvature) some non-Riemannian geometric structures are geodesically invariant an…
A class of Finsler metrics admitting first integrals
Ioan Bucataru, Oana Constantinescu, Georgeta Cretu
We use two non-Riemannian curvature tensors, the -curvature and the mean Berwald curvature to characterise a class of Finsler metrics admitting first integrals.
Alternative Lagrangians obtained by scalar deformations
Oana A. Constantinescu, Ebtsam H. Taha
We study non-conservative like SODEs admitting explicit Lagrangian descriptions. Such systems are equivalent to the system of Lagrange equations of some Lagrangian , including a…
Generalized Helmholtz conditions for non-conservative Lagrangian systems
Ioan Bucataru, Oana Constantinescu
In this paper we provide generalized Helmholtz conditions, in terms of a semi-basic 1-form, which characterize when a given system of second order ordinary differential equations i…
Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations
Oana Constantinescu
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 cons…
A geometric setting for systems of ordinary differential equations
Ioan Bucataru, Oana Constantinescu, Matias F. Dahl
To a system of second order ordinary differential equations (SODE) one can assign a canonical nonlinear connection that describes the geometry of the system. In this work we develo…
Helmholtz conditions and symmetries for the time dependent case of the inverse problem of the calculus of variations
Ioan Bucataru, Oana Constantinescu
We present a reformulation of the inverse problem of the calculus of variations for time dependent systems of second order ordinary differential equations using the Frölicher-Nijen…
Weyl substructures and compatible linear connections
Oana Constantinescu, Mircea Crasmareanu
The aim of this paper is to study from the point of view of linear connections the data with a smooth dimensional real manifold, $(\mathcal{D},g)…