1999/09/27 by Wlodzimierz M. Tulczyjew, Włodzimierz M. Tulczyjew, Tulczyjew, Wlodzimierz M. +3
Engineering · Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #Dynamics and Control of Mechanical Systems #Elasticity and Wave Propagation #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods for differential equations #math-ph #math.DG #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/9909029
50 pages, LamsTeX. To appear in Acta Physica Polonica
arxiv created 1999/09/27 · openalex publication_date 1999/09/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A comparative analysis of two different versions of the Legendre transformation is presented. We provide an almost complete although somewhat superficial review of the geometric background for analytical mechanics. Complete coordinate characterizations of all structures are provided. Intrinsic constructions of most of the objects are given. Examples of applications to a number of physical systems is given