27 citations · 79 across the 11 of their papers we have counts for
4 papers · 1 filter
Local convexity for second order differential equations on a Lie algebroid
Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez
A theory of local convexity for a second order differential equation (SODE) on a Lie algebroid is developed. The particular case when the SODE is homogeneous quadratic is extensive…
On the construction of the linearization of a nonlinear connection
Eduardo Martínez
The construction of a linear connection on a pullback bundle from a connection on a vector bundle is explained in terms of fiberwise linear approximation. This procedure clarifies…
Linearization of nonlinear connections on vector and affine bundles, and some applications
Eduardo Martínez
A linear connection is associated to a nonlinear connection on a vector bundle by a linearization procedure. Our definition is intrinsic in terms of vector fields on the bundle. Fo…
On the exact discrete Lagrangian function for variational integrators: theory and applications
J. C. Marrero, D. Martín de Diego, E. Martínez
In this paper, we will give a rigorous construction of the exact discrete Lagrangian formulation associated to a continuous Lagrangian problem. Moreover, we work in the setting of…