On Geometry of Schmidt Legendre Transformation
  A geometrization of Schmidt-Legendre transformation of the second order Lagrangians is proposed by building a proper Tulczyjew's triplet. The symplectic relation between Ostrogradsky-Legendre and Schmidt-Legendre transformations is obtained. Several examples are presented. 
O\u{g}ul Esen, Partha Guha
math-ph math.DG math.MP