Geometry of Jacobi Curves. I

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Parametrized curves in Lagrange Grassmannians (2007, background): “En étudiant les courbes dans les Grassmanniennes Lagrangiennes , on peut développer de façon unifiée ([1]) la géométrie différentielle de structures géométriques sur les variétés.”
Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds (2009, methodology): “In this section we recall the definition of the curvature type invariants studied in [2, 4 , 14, 15] and specialize it to the case of a three dimensional contact subriemannian manifold.”
On variational approach to differential invariants of rank two distributions (2004, methodology): “The proof of the proposition can be easily obtained by application of some formulas and statements of section 6 and 7 of [ 4 ] (for example, formulas (6.15), (6.16), (6.18), (6.19), Lemma 6.1 and Proposition 3 there).”
Differential geometry of curves in Lagrange Grassmannians with given Young diagram (2007, methodology): “The main disadvantage of the derivative curve Λ(·), comparing to the curve Λ(·), constructed here, is that if one uses it for the construction of the moving frames intrinsically related to the curve Λ(·) , as was done in [2] and [3], then it is very hard to analyze their structural equations and to ”