References
[B-K] Buyalo, S., Kobelski, V.: Geometrization of graph-manifolds: isometric states. St. Petersburg Math. J. (to appear)
[Ch-E] Cheeger, J., Ebin, D.: Comparison theorems in Riemannian geometry, North Holland 1975
[E] Eberlein, P.: A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center, Math. Ann.260 (1), 23–29 (1982)
[G] Gromov, M.: Manifolds of negative curvature, J. Diff. Geom.13, 223–230 (1978)
[H] Heintze, E.: Mannigfaltigkeiten negativer Krümmung, Habilitationsschrift, Universität Bonn 1976
[Ja] Jaco, W.: Lectures on three-manifold topology, Amer. Math. Soc.43 (1980)
[J-S] Jaco, W., Shalen, P.: Seifert fibred spaces in 3-manifolds, Mem. Amer. Math. Soc.220 (1979)
[Jo] Johannson, K.: Homotopy equivalences of 3-manifolds with boundary, Springer LNM761 (1979)
[K-L1] Kapovich, M., Leeb, B.: Actions of discrete groups on nonpositively curved spaces (preprint 1994)
[K-L2] Kapovich, M., Leeb, B.: On quasi-isometries of graph-manifold groups (preprint 1994)
[K-L2] Kapovich, M., Leeb, B.: On quasi-isometries of graph-manifold groups (preprint 1994)
[L] Leeb, B.: 3-manifolds with(out) metrics of nonpositive curvature, PhD Thesis, University of Maryland, 1992
[L-S] Leeb, B., Scott, P.: A geometric characteristic splitting in all dimensions (in preparation)
[St] Scott, P.: The geometries of 3-manifolds, Bull. London Math. Soc.15, 401–487 (1983)
[Th1] Thurston, W.: The geometry and topology of 3-manifolds, lecture notes, Princeton University
[Th2] Thurston, W.: Hyperbolic structures on 3-manifolds, I, Ann. Math.124, 203–246 (1986)
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Oblatum 9-X-1994 & 10-IV-1995
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Leeb, B. 3-manifolds with(out) metrics of nonpositive curvature. Invent Math 122, 277–289 (1995). https://doi.org/10.1007/BF01231445
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DOI: https://doi.org/10.1007/BF01231445