2009/08/06 by Lenka Zalabová, Lenka Zalabova
Mathematics · #Affine connection #Affine transformation #Analytic and geometric function theory #Connection (principal bundle) #Differential geometry #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Homogeneous #Homogeneous space #Invariant (physics) #math.DG #msc:53A40 #msc:53C05 #msc:53C15 #msc:53C35
paper · pdf · doi:10.1007/s10455-009-9177-5
published as Annals of Global Analysis and Geometry, Vol. 37, Issue 2,2010, 125-141 · 15 pages
arxiv created 2009/08/06 · openalex publication_date 2009/09/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study here systems of symmetries on |1|--graded parabolic geometries. We are interested in smooth systems of symmetries and we discuss non--flat homogeneous |1|--graded geometries. We show the existence of an invariant admissible affine connection under quite weak condition on the system.