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math.DG2026
Flows and Homotopies of Banach Lie algebroids
Fernand Pelletier, Alexander Schmeding
We establish flow and homotopy tools for Banach Lie algebroids that do not rely on compactly supported extensions. Under suitable hypotheses, we construct parameter-dependent local…
math.DG2016★ 4 cited
Manifolds of absolutely continuous curves and the square root velocity framework
Alexander Schmeding
A classical result in Riemannian geometry states that the absolutely continuous curves into a (finite-dimensional) Riemannian manifold form an infinite-dimensional manifold. In the…