On Geometry of Schmidt Legendre Transformation
Mathematical Physics
2017-03-06 v4 Differential Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1607.08348,
title = {On Geometry of Schmidt Legendre Transformation},
author = {Oğul Esen and Partha Guha},
journal= {arXiv preprint arXiv:1607.08348},
year = {2017}
}