2013/11/29 by Thomas Morzadec, Morzadec, Thomas
Computer Science · #30 #37 #53 #57 #58 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1311.7609
openalex publication_date 2013/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In [Mor], we have introduced a notion of flat laminations on surfaces endowed with a flat structure, similar to geodesic laminations on hyperbolic surfaces. Here is a sequel to this article that aims at defining transversal measures on flat laminations similar to transversal measures on hyperbolic laminations, taking into account that two different leaves of a flat lamination may no longer disjoint. Then, we define a topology on the set of measured flat laminations and show that its projective space is compact. Finally, we define the dual tree to a measured flat lamination.