5 papers · 1 filter
Filtered complexes and cohomologically equivalent subcomplexes
Erlend Grong, Francesca Tripaldi
Inspired by Rumin's work on a subcomplex in sub-Riemannian manifolds which is cohomologically equivalent to the de Rham complex, we present a more general construction that produce…
Controllability on landmark manifolds for shapes and neural ODEs
Erlend Grong, Sylvie Vega-Molino
Landmark manifolds consist of a collection of distinct points, and dynamics on this manifold can be used to represent flows, such as solutions of ODEs and flows deforming a shape.…
Canonical connections on sub-Riemannian manifolds with constant symbol
Erlend Grong
As a tool to address the equivalence problem in sub-Riemannian geometry, we introduce a canonical choice of grading and compatible affine connection, available on any sub-Riemannia…
Comparison theorems on H-type sub-Riemannian manifolds
Fabrice Baudoin, Erlend Grong, Luca Rizzi +1
On H-type sub-Riemannian manifolds we establish sub-Hessian and sub-Laplacian comparison theorems which are uniform for a family of approximating Riemannian metrics converging to t…
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…