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Flat manifolds with non-zero euler characteristics

โœ Scribed by John Smillie


Book ID
112783501
Publisher
European Mathematical Society
Year
1977
Tongue
English
Weight
155 KB
Volume
52
Category
Article
ISSN
0010-2571

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Compact flat manifolds with non-vanishin
โœ Sung Mo Im; Heung Ki Kim ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

We construct a class of compact flat Riemannian manifolds M of dimension 2n + 1 with the following properties: (1) M has holonomy group (Z 2 ) n+1 , (2) M is not a (non-trivial) flat toral extension of a compact flat manifold, (3) the first Betti number of M is 0, and (4) Stiefel-Whitney classes w