Special groups of isometries

  • Werner Ballmann
  • Mikhael Gromov
  • Viktor Schroeder
Part of the Progress in Mathematics book series (PM, volume 61)


We now analyze the action of some special groups of isometries acting on a Hadamard manifold X or more generally on a convex subset M ⊂ X. A group Γ operates discretely if for any compact set K ⊂ X there are only finitely many γ ∈ Γ with γK K φ. Γ operates freely (fixed point free), if γ does not contain nontrivial elliptic elements.


Nilpotent Group Semisimple Element Common Axis Affine Subspace Elliptic Element 
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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Werner Ballmann
    • 1
    • 2
  • Mikhael Gromov
    • 3
  • Viktor Schroeder
    • 4
    • 5
  1. 1.Dept. of MathematicsUniversity of MarylandCollege ParkUSA
  2. 2.Math. Institut der UniversitätBonnWest Germany
  3. 3.Inst. des Hautes Etudes ScientifiquesBures-sur-YvetteFrance
  4. 4.Math. Institut der UniversitätMünsterGermany
  5. 5.Math. Institut der UniversitätBaselSwitzerland

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