2012/07/06 by Sorin V. Sabău, Sorin V. Sabau, Sabau, Sorin V. +5
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Fibroblast Growth Factor Research #math.DG
paper · pdf · doi:10.48550/arxiv.1207.1575
arxiv created 2012/07/06 · openalex publication_date 2012/07/06 · arxiv updated 2012/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An (I,J,K)-generalized Finsler structure on a 3-manifold is a generalization of a Finslerian structure, introduced in order to separate and clarify the local and global aspects in Finsler geometry making use of the Cartan's method of exterior differential systems. In this paper, we show that there is a close relation between (I,J,1)-generalized Finsler structures and a class of contact circles, namely the so-called Cartan structures. This correspondence allows us to determine the topology of 3-manifolds that admit (I, J, 1)-generalized Finsler structures and to single out classes of (I, J, 1)-generalized Finsler structures induced by standard Cartan structures.