40 citations · 295 across the 45 of their papers we have counts for
4 papers · 1 filter
Lie groupoids of mappings taking values in a Lie groupoid
Habib Amiri, Helge Glockner, Alexander Schmeding
Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop g…
Convergence of Lie group integrators
Charles Curry, Alexander Schmeding
We relate two notions of local error for integration schemes on Riemannian homogeneous spaces, and show how to derive global error estimates from such local bounds. In doing so, we…
Linking Lie groupoid representations and representations of infinite-dimensional Lie groups
Habib Amiri, Alexander Schmeding
The present paper links the representation theory of Lie groupoids and infinite-dimensional Lie groups. We show that smooth representations of Lie groupoids give rise to smooth rep…
Extending Whitney's extension theorem: nonlinear function spaces
David Michael Roberts, Alexander Schmeding
We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains , with non-smooth boundary, in possibly non-compa…