Two-Dimensional Almost-Riemannian Structures with Tangency Points

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

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

A Finsler structure on a manifold M defines a Riemannian structure in the vertical tangent bundle and a natural supplement of the vertical tangent bundle called the horizontal

These spaces are useful in the study of the geometry of higher-order Lagrangians [6, 7], for the prolongation of Riemannian, Finslerian and Lagrangian structures [6, 7], for the

We prove that for every almost complex manifold and every symplectic form on T ∗ M compatible with the generalized horizontal lift, the conormal bundle of a strictly

The key step to recover a full limit from the limit of a random subsequence is the continuity lemma 4.2: using the coupled zone, we prove in essence that two points close in Z d × N

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

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