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math.DG2026
Jacobi fields and Jacobi sections for semisprays on Lie algebroids: transverse variations and equivalences
Misael Avendaño Camacho, Jhonny Kama Mamani
We study the relationship between Jacobi sections and Jacobi fields associated with semisprays on Lie algebroids. First, we characterize compatible transverse variations in terms o…
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…