2002/12/05 by Izu Vaisman, Vaisman, Izu
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #53C15 #53C60 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Microtubule and mitosis dynamics #Spaceflight effects on biology #math.DG #msc:53C15 #msc:53C60
paper · pdf · doi:10.48550/arxiv.math/0212080
LaTex, 30 pages
arxiv created 2002/12/05 · openalex publication_date 2002/12/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a non degenerate Lagrangian function on the total space of a tangent bundle. Finsler geometry is the geometrically most interesting case of Lagrange geometry. In this paper we study a generalization, which consists of replacing the tangent bundle by a general tangent manifold, and the Lagrangian by a family of compatible, local, Lagrangian functions. We give several examples, and find the cohomological obstractions to globalization. Then, we extend the connections used in Finsler and Lagrange geometry, while giving an index free presentation of these connections.