The geodesic flow of a nonpositively curved graph manifold
نویسندگان
چکیده
منابع مشابه
The geodesic flow of a nonpositively curved graph manifold
We consider discrete cocompact isometric actions G ρ y X where X is a locally compact Hadamard space1, and G belongs to a class of groups (“admissible groups”) which includes fundamental groups of 3-dimensional graph manifolds. We identify invariants (“geometric data”) of the action ρ which determine, and are determined by, the equivariant homeomorphism type of the action G ∂∞ρ y ∂∞X of G on th...
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The Teichmüller harmonic map flow deforms both a map from an oriented closed surface M into an arbitrary closed Riemannian manifold, and a constant curvature metric on M , so as to reduce the energy of the map as quickly as possible [16]. The flow then tries to converge to a branched minimal immersion when it can [16, 18]. The only thing that can stop the flow is a finite-time degeneration of t...
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Let X be a geodesic space. We say that X is geodesically complete if every geodesic segment β : [0, a] → X from β(0) to β(a) can be extended to a geodesic ray α : [0,∞) → X, (i.e. β(t) = α(t), for 0 ≤ t ≤ a). If X is a compact npc space (“npc” means: “non-positively curved”) then it is almost geodesically complete, see [10]. (X, with metric d, is almost geodesically complete if its universal co...
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ژورنال
عنوان ژورنال: Geometric And Functional Analysis
سال: 2002
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-002-8255-7