40 citations · 295 across the 45 of their papers we have counts for
5 papers · 1 filter
An introduction to infinite-dimensional differential geometry
Alexander Schmeding
The present document is the draft of a book which presents an introduction to infinite-dimensional differential geometry beyond Banach manifolds. As is well known the usual calculu…
Lie Theory for Asymptotic Symmetries in General Relativity: The NU Group
David Prinz, Alexander Schmeding
We study the Newman--Unti (NU) group from the viewpoint of infinite-dimensional geometry. The NU group is a topological group in a natural coarse topology, but it does not become a…
Manifolds of mappings on cartesian products
Helge Glockner, Alexander Schmeding
Given smooth manifolds (which may have a boundary or corners), a smooth manifold modeled on locally convex spaces and , w…
Lie Theory for Asymptotic Symmetries in General Relativity: The BMS Group
David Prinz, Alexander Schmeding
We study the Lie group structure of asymptotic symmetry groups in General Relativity from the viewpoint of infinite-dimensional geometry. To this end, we review the geometric defin…
Continuity of Formal Power Series Products in Nonlinear Control Theory
W. Steven Gray, Mathias Palmstrøm, Alexander Schmeding
Formal power series products appear in nonlinear control theory when systems modeled by Chen-Fliess series are interconnected to form new systems. In fields like adaptive control a…