Conjugacy rigidity for nonpositively curved graph manifolds

2001/02/15 by Christopher B. Croke, Croke, Christopher B.
Mathematics · #37D40 #53C20 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.DG #math.DS #msc:37D40 #msc:53C20

paper · pdf · doi:10.48550/arxiv.math/0102117

9 pages, latex file

arxiv created 2001/02/15 · arxiv updated 2009/11/30

Abstract

We show that the metric of nonpositively curved graph manifolds is determined by its geodesic flow. More precisely we show that if the geodesic flows of two nonpositively curved graph manifolds are C⁰ conjugate then the spaces are isometric.

Related

• The geodesic flow of a nonpositively curved graph manifold
• Obstructions for generalized graphmanifolds to be nonpositively curved
• Warped Graphs of Nonpositively Curved Gluings
• Non-positively curved graph manifolds are virtually fibered over the circle
• Isometric embeddings of graphs into Riemannian manifolds