5 citations · 7 across the 4 of their papers we have counts for
6 papers
Deep neural networks on diffeomorphism groups for optimal shape reparameterization
Elena Celledoni, Helge Glöckner, Jørgen Riseth +1
One of the fundamental problems in shape analysis is to align curves or surfaces before computing geodesic distances between their shapes. Finding the optimal reparametrization rea…
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 groups of real analytic diffeomorphisms are -regular
Helge Glockner
Let be a compact, real analytic manifold and be the Lie group of all real-analytic diffeomorphisms of , which is modelled on the space of real-analytic v…
Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
Helge Glockner, Joachim Hilgert
We develop aspects of geometric control theory on Lie groups G which may be infinite dimensional, and on smooth G-manifolds M modelled on locally convex spaces. As a tool, we discu…
Contraction Groups and Passage to Subgroups and Quotients for Endomorphisms of Totally Disconnected Locally Compact Groups
Timothy P. Bywaters, Helge Glöckner, Stephan Tornier
The concepts of the scale and tidy subgroups for an automorphism of a totally disconnected locally compact group were defined in seminal work by George A. Willis in the 1990s, and…
Completeness of infinite-dimensional Lie groups in their left uniformity
Helge Glockner
We prove completeness for the main examples of infinite-dimensional Lie groups and some related topological groups.