Minimal surfaces in sub-riemannian manifolds and structure of their singular sets in the <span class="mathjax-formula">$(2,3)$</span> case

Key-words: sub-Riemannian geometry, Martinet, abnormal geodesi, sympleti integrator, bakward

To end the proof and in particular to remove the flat remainder term O Σ (∞) in the Birkhoff normal form given in Theorem 2.2, we use the nice scattering method due to Edward

The asymptotic upper bound (8) for the heat kernel through K, under condition (7), follows directly from the Gaussian upper bound (27) and the asymptotic lower bound (19) for the

Section 3.3 recalls the notion (and basic properties) of privileged coordinates and nilpotent approximation (for more details we refer the reader to [15].) In Section 3.4 we explain

FRANCAVIGLIA, The theory of separability of the Hamilton-Jacobi equation and its applications to General Relativity, in « Einstein Centennial Volumes », A. FRANCAVIGLIA,

We prove endpoint estimates for operators given by oscillating spectral multipliers on Riemannian manifolds with C ∞ -bounded ge- ometry and nonnegative Ricci curvature..

The maximum time s 0 such that these properties hold is uniform for families of functions which are bounded in C 2 norm (for then the associated graphs are contained in a given

Similar arguments rule out the cases m^&gt;2; thus each end gives rise to a disc of multiplicity 1. — Theorem 1.4 is false if one drops the hypothesis of finite topological type.