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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…
math.DG2024
A sub-Riemannian Gauss-Bonnet theorem for surfaces in contact manifolds
Erlend Grong, Jorge Hidalgo, Sylvie Vega-Molino
We obtain a sub-Riemannian version of the classical Gauss-Bonnet theorem. We consider subsurfaces of a three dimensional contact sub-Riemannian manifolds, and using a family of tam…