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20112026
most citedShape Analysis on Lie Groups with Applications in Computer Animation

40 citations · 295 across the 45 of their papers we have counts for

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math.DG2024

The Stacey-Roberts Lemma for Banach Manifolds

Peter Kristel, Alexander Schmeding

The Stacey-Roberts lemma states that a surjective submersion between finite-dimensional manifolds gives rise to a submersion on infinite-dimensional manifolds of smooth mappings by…

math.GR2024★ 1 cited

On the singularities of the exponential function of a semidirect product

Alexandru Chirvasitu, Rafael Dahmen, Karl-Hermann Neeb +1

We show that the Fréchet--Lie groups of the form resulting from smooth flows on compact manifolds fail to be locally exponential in several ca…

math.FA2024

Manifolds of continuous BV-functions and vector measure regularity of Banach-Lie groups

Helge Glockner, Alexander Schmeding, Ali Suri

We construct a smooth Banach manifold BV whose elements are suitably-defined functions of bounded variation with values in a smooth Banach manif…

math.GR2024

Boundary values of diffeomorphisms of simple polytopes, and controllability

Helge Glöckner, Erlend Grong, Alexander Schmeding

We consider the Lie group of smooth diffeomorphisms Diff of a simple polytope in the euclidean space. Simple polytopes are special cases of manifolds with corners. The geo…

math.DG2024

Controllability and diffeomorphism groups on manifolds with boundary

Erlend Grong, Alexander Schmeding

In this article we consider diffeomorphism groups of manifolds with smooth boundary. We show that the diffeomorphism groups of the manifold and its boundary fit into a short exact…