2000/02/01 by Xavier Gràcia, Xavier Gracia · 1 citation
Mathematics · Physics and Astronomy · #Bundle #Computer science #Euler's formula #Function (biology) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Lagrangian #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Singular solution #Space (punctuation) #math-ph #math.DG #math.MP #msc:58C25 #msc:70G45 #msc:70H45
paper · pdf · doi:10.1016/s0034-4877(00)88872-2
published as Rept.Math.Phys. 45 (2000) 67-84 · 17 pages
openalex publication_date 2000/02/01 · arxiv created 2000/07/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The fibre derivative of a bundle map is studied in detail. In the particular case of a real function, several constructions useful to study singular lagrangians are presented. Some applications are given; in particular, a geometric construction useful to solve the Euler-Lagrange equation of a singular lagrangian. A free particle in a curved space-time is studied as an example.