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Geometriae Dedicata

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

Codimension one tori in manifolds of nonpositive curvature

  • Viktor Schroeder
Article

Abstract

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.

Keywords

Riemannian Manifold Finite Volume Sectional Curvature Complete Riemannian Manifold Nonpositive Curvature 
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

© Kluwer Academic Publishers 1990

Authors and Affiliations

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

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