21 citations · 29 across the 7 of their papers we have counts for
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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…
On Gauge Poisson Brackets with Prescribed Symmetry
M. Avendaño-Camacho, J. C. Ruíz-Pantaleón, Yu. Vorobiev
In the context of averaging method, we describe a reconstruction of invariant connection-dependent Poisson structures from canonical actions of compact Lie groups on fibered phase…
Regular Foliations and Poisson Structures on Orientable Manifolds
Rubén Flores-Espinoza, Misael Avendaño-Camacho
On an orientable manifold M, we consider a regular even dimensional foliation F which is globally defined by a set of k-independent 1-forms. We give necessary and sufficient condit…