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, Volume 64, Issue 1, pp 77–105 | Cite as

Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature

  • Viktor Schroeder


The complete structure of flat subspaces is determined for compact real analytic 3 or 4-dimensional manifolds of nonpositive sectional curvature. In particular we show that this structure is determined by the fundamental group.


Number Theory Algebraic Geometry Fundamental Group Sectional Curvature Topological Group 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Viktor Schroeder
    • 1
  1. 1.Mathematisches Institut der UniversitätMünsterFed. Rep. of Germany

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