Geometriae Dedicata

, Volume 33, Issue 3, pp 251–263 | Cite as

Codimension one tori in manifolds of nonpositive curvature

  • Viktor Schroeder


A complete Riemannian manifold of nonpositive sectional curvature and finite volume contains a totally geodesic flat torus of codimension one provided it contains a codimension one flat.


Riemannian Manifold Finite Volume Sectional Curvature Complete Riemannian Manifold Nonpositive Curvature 
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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Viktor Schroeder
    • 1
  1. 1.Mathematisches InstitutUniversität MünsterMünsterF.R.G.

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