Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bieberbach, L., Ueber die Bewegungsgruppen der Euklidischen Räume, I: Math. Ann. 70 (1911) 297–336; II: Math. Ann. 72 (1912) 400–412.
Buser, P., Karcher, H., Gromov’s almost flat manifold theorem (to appear).
Gromov, M., Almost flat manifolds, J. Differential Geometry 13 (1978) 231–241.
Wolf, J., Spaces of constant curvature. McGraw Hill, New York (etc.) 1967.
Other proofs of the Bieberbach theorem
Auslander, L., Bieberbach’s theorems on space groups and discrete uniform subgroup of Lie groups I: Ann. of Math. 71 (1960) 579–590; Amer. J. Math. 83 (1961), 276–280.
Frobenius, G. Über die unzerlegbaren diskreten Bewegungsgruppen, Sitz. ber. der Preuss. Akad. Wissen., Berlin, (1911), 654–665.
Zassenhaus, H., Beweis eines Satzes über diskrete Gruppen, Abh. Math. Sem. Univ. Hamburg, 12 (1938), 289–312.
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Buser, P., Karcher, H. (1981). The bieberbach case in gromov’s almost flat manifold theorem. In: Ferus, D., Kühnel, W., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088844
Download citation
DOI: https://doi.org/10.1007/BFb0088844
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10285-4
Online ISBN: 978-3-540-38419-9
eBook Packages: Springer Book Archive