Abstract
Bieberbach groups can be studied purely for their algebraic properties which are extremely interesting. If we do so, however, we will be missing out on some wonderful results in riemannian geometry which, after a little initial work, come free with the algebraic results on Bieberbach groups. This procedure in which problems in one field, riemannian geometry, are converted to problems in another field, algebra, is very much in the spirit of modern mathematics.
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© 1986 Springer-Verlag New York Inc.
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Charlap, L.S. (1986). Flat Riemannian Manifolds. In: Bieberbach Groups and Flat Manifolds. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8687-2_2
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DOI: https://doi.org/10.1007/978-1-4613-8687-2_2
Publisher Name: Springer, New York, NY
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