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math.DG2022★ 4 cited
Spectral asymptotics for sub-Riemannian Laplacians
Yves Colin de Verdìère, Luc Hillairet, Emmanuel Trélat
We study spectral properties of sub-Riemannian Laplacians, which are hypoelliptic operators. The main objective is to obtain quantum ergodicity results, what we have achieved in th…
math.DG2021★ 1 cited
Spiraling of sub-Riemannian geodesics around the Reeb flow in the 3D contact case
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
We consider a closed three-dimensional contact sub-Riemannian manifold. The objective of this note is to provide a precise description of the sub-Riemannian geodesics with large in…