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manuscripta mathematica

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

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

  • Viktor Schroeder
Article

Abstract

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.

Keywords

Number Theory Algebraic Geometry Fundamental Group Sectional Curvature Topological Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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