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math.DG2016★ 13 cited
A note on actions of some monoids
Michal Jozwikowski, Mikolaj Rotkiewicz
Smooth actions of the multiplicative monoid of real numbers on manifolds lead to an alternative, and for some reasons simpler, definition of a vector bundle, a…
math.DG2012★ 53 cited
Jacobi vector fields for Lagrangian systems on algebroids
Michal Jozwikowski
We study the geometric nature of the Jacobi equation. In particular we prove that Jacobi vector fields (JVFs) along a solution of the Euler-Lagrange (EL) equations are themselves s…