2 papers
math.DG2026
Hamiltonian semisprays on Lie algebroids
Misael Avendaño Camacho, Jhonny Kama Mamani, Eduardo Velasco Barreras
We study the existence of Hamiltonian semisprays on Lie algebroids. This work is motivated by a problem studied by Vaisman for tangent bundles, and we extend this question to the s…
math.DG2015
A geometric proof of the periodic averaging theorem on Riemannian manifolds
Misael Avendaño Camacho, Guillermo Dávila Rascón
We present a geometric proof of the averaging theorem for perturbed dynamical systems on a Riemannian manifold, in the case where the flow of the unperturbed vector field is period…