13 citations · 63 across the 35 of their papers we have counts for
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math.DG2020★ 1 cited
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…
math.DG2020★ 1 cited
Functional inequalities on path space of sub-Riemannian manifolds and applications
Li-Juan Cheng, Erlend Grong, Anton Thalmaier
For sub-Riemannian manifolds with a chosen complement, we first establish the derivative formula and integration by parts formula on path space with respect to a natural gradient o…
math.DG2020★ 3 cited
Affine connections and curvature in sub-Riemannian geometry
Erlend Grong
We introduce a new approach for computing curvature of sub-Riemannian manifolds. Curvature is here meant as symplectic invariants of Jacobi curves of geodesics, as introduced by Ze…