Lipschitz Classification of Almost-Riemannian Distances on Compact Oriented Surfaces

— We prove that two-step analytic sub-Riemannian structures on a compact analytic manifold equipped with a smooth measure and Lipschitz Carnot groups satisfy measure

The main result of the paper provides a classification of oriented almost-Riemannian structures on compact oriented surfaces in terms of the Euler number of the vector

On the analyticity of the semigroups generated by the Hodge-Laplacian, and by the Stokes and Maxwell operators on Lipschitz subdomains of

Taylor, Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem, J. Pazy, Semigroups of Linear Operators and Applications

In this section we use the techniques and results from [7], developped in the sub- Riemannian Martinet case, to compute asymptotics of the front from the tangency point for the

On an n-dimensional connected Lie group the simplest ARSs are defined by a set of n − 1 left-invariant vector fields and one linear vector field, the rank of which is equal to n on

The central limit theorem by Salem and Zygmund [30] asserts that, when properly rescaled and evaluated at a uniform random point on the circle, a generic real trigonometric

An almost-Riemannian structure (ARS in short) on an n-dimensional differential manifold can be defined, at least locally, by a set of n vector fields, considered as an