Nonpositively curved graph manifolds are virtually fibered over the circle

DOI10.1023/B:JOTH.0000008770.76676.7EzbMATH Open1069.57006arXivmath/0108010MaRDI QIDQ1781318

P. V. Svetlov

Publication date: 23 June 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Abstract: In this note we prove that any closed graph manifold admitting a metric of non-positive sectional curvature (NPC-metric) has a finite cover, which is fibered over the circle. An explicit criterion to have a finite cover, which is fibered over the circle, is presented for the graph manifolds of certain class.

Full work available at URL: https://arxiv.org/abs/math/0108010

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) General geometric structures on low-dimensional manifolds (57M50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Title not available (Why is that?) ⋮ Equivalence of boundary measures on covering trees of finite graphs ⋮ Virtually unipotent curves in some non-NPC graph manifolds ⋮ Commensurability and virtual fibration for graph manifolds

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