13 citations · 63 across the 35 of their papers we have counts for
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math.DG2022★ 1 cited
Variations of the sub-Riemannian distance on Sasakian manifolds with applications to coupling
Fabrice Baudoin, Erlend Grong, Robert Neel +1
On Sasakian manifolds with their naturally occurring sub-Riemannian structure, we consider parallel and mirror maps along geodesics of a taming Riemannian metric. We show that thes…
math.DG2022
Curvature and the equivalence problem in sub-Riemannian geometry
Erlend Grong
These notes give an introduction to the equivalence problem of sub-Riemannian manifolds. We first introduce preliminaries in terms of connections, frame bundles and sub-Riemannian…
math.DG2022★ 1 cited
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…