2001/01/29 by Frédéric Hélein, Frederic Helein, Helein, Frederic
Mathematics · Physics and Astronomy · #53B40 #70S05 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B40 #msc:70S05
paper · pdf · doi:10.48550/arxiv.math/0101237
24 pages, Latex, in french
arxiv created 2001/01/29 · openalex publication_date 2001/01/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This text proposes geometrical descriptions of all variational problems invariant by conformal transformations in two variables. First a characterisation in terms of C-Finsler manifolds, a suitable generalization of Finsler manifolds, is given. Second Hamiltonian formalisms are explored, with an emphasis on Caratheodory's formalism. Some of these considerations were subsequently developped in papers with Joseph Kouneiher in math-ph/0004020 and math-ph/0010036