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...Lecture notes on sub riemannian geometry from the lie group viewpoint by enrico le donne http ledonne googlepages com version of february contents abrief introduction about these what is structure geometries as models main example heisenberg an isoperimetric problem plane contact formulation subriemannian exercises areview metric and dierential length structures for finsler manifolds general theory carnot carath eodory spaces denition chow s theorem existence geodesics equiregular distributions ball box hausdor dimension i may groups their algebras exponential map linear its algebra subfinsler left invariant polarizations extrema regular abnormal extremals nilpotent stratied adeeper study limits distances asymptotic cones tangent ametric characterization visual boundaries hyperbolic cat boundary preliminary notions rank one symmetric k n space khn isometries semidirect products distance octonionic ii...