24 citations · 212 across the 32 of their papers we have counts for
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math.DG2009★ 3 cited
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…
math.DG2009★ 24 cited
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations
Ioan Bucataru, Matias F. Dahl
We use Frölicher-Nijenhuis theory to obtain global Helmholtz conditions, expressed in terms of a semi-basic 1-form, that characterize when a semispray is locally Lagrangian. We als…
math.DG2009
Descending maps between slashed tangent bundles
Ioan Bucataru, Matias F. Dahl
Suppose and are slashed tangent bundles of two smooth manifolds and , respectively. In this paper we characteriz…