# Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold

@inproceedings{Barilari2022IntrinsicSF, title={Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold}, author={Davide Barilari and Karen Habermann}, year={2022} }

. We construct and study the intrinsic sub-Laplacian, deﬁned outside the set of characteristic points, for a smooth hypersurface embedded in a contact sub-Riemannian manifold. We prove that, away from characteristic points, the intrinsic sub-Laplacian arises as the limit of Laplace–Beltrami operators built by means of Riemannian approximations to the sub-Riemannian structure using the Reeb vector ﬁeld. We carefully analyse three families of model cases for this setting obtained by considering…

## One Citation

### Steiner and tube formulae in 3D contact sub-Riemannian geometry

- Mathematics
- 2023

. We prove a Steiner formula for regular surfaces with no characteristic points in 3D contact sub-Riemannian manifolds endowed with an arbitrary smooth volume. The formula we obtain, which is…

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