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 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations