Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1970 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Busemann, H. (1970). Motions. In: Recent Synthetic Differential Geometry. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88057-5_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-88057-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-88059-9
Online ISBN: 978-3-642-88057-5
eBook Packages: Springer Book Archive