• Herbert Busemann
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 54)


Much work has been done on spaces with large groups of motions, but very little on conditions under which the number of motions is finite. The best known classical result in this direction states that a compact Riemann space with negative curvature has a finite group of motions. Section 18 discusses questions of this type and in particular extends the mentioned theorem in several ways.


Fundamental Group Conjugate Point Closed Geodesic Universal Covering Space Domain Invariance 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1970

Authors and Affiliations

  • Herbert Busemann
    • 1
  1. 1.University of Southern CaliforniaLos AngelesUSA

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