1999/01/29 by Jürgen Eichhorn, Eichhorn, Jürgen, Rudolf Schmid +1
Mathematics · Physics and Astronomy · #53C15 #53C25 #58B25 #58D05 #58G15 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C15 #msc:53C25 #msc:58B25 #msc:58D05 #msc:58G15
paper · pdf · doi:10.48550/arxiv.math/9901136
arxiv created 1999/01/29 · openalex publication_date 1999/01/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We endow the group of invertible Fourier integral operators on an openmanifold with the structure of an ILH Lie group. This is done by establishing such structures for the groups of invertible pseudodifferential operators and contact transformations on an open manifold of bounded geometry, and gluing those together via a local section.