Bibliography
L. Auslander, ‘A Fixed Point Theorem for Nilpotent Lie Groups’, Proc. Amer. Math. Soc. 9 (1958), 822–823.
L. Bieberbach, ‘Über die Bewegungsgruppen der euklidischen Raume I’, Math. Annalen 70 (1911), 297–336; II, Ibid. 72 (1912), 400–412.
J. J. Burckhardt, Die Bewegungsgruppen der Kristallographie, second edition, Birkhäuser Verlag, Basel, 1966.
W. Hantzsche und H. Wendt, ‘Driedimensionale euklidische Raumformen’, Math. Annalen 110 (1935), 593–611.
H. G. Helfenstein, ‘Local Isometries of Flat Tori’, Pacific J. Math. 32 (1970), 113–117.
N. J. Hicks, ‘A Theorem on Affine Connexions’, Ill. J. Math. 3 (1959), 242–254.
F. W. Kamber and Ph. Tondeur, ‘Flat Manifolds With Parallel Torsion’, J. Differential Geometry 4 (1968), 385–389.
W. Nowacki, ‘Die euklidischen, driedimensionalen geschlossenen und offenen Raumformen’, Comment. Math. Helv. 7 (1934), 81–93.
J. A. Wolf, ‘The Affine Group of a Lie Group’, Proc. Amer. Math. Soc. 14 (1963), 352–353.
J. A. Wolf, Spaces of Constant Curvature, second edition, J. A. Wolf, Berkeley, 1972.
J. A. Wolf, ‘On the Geometry and Classification of Absolute Parallelisms I’, J. Differential Geometry 6 (1972), 317–342.
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Research partially supported by N.S.F. Grant GP-16651.
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Wolf, J.A. Local and global equivalence for flat affine manifolds with parallel geometric structures. Geom Dedicata 2, 127–132 (1973). https://doi.org/10.1007/BF00149288
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DOI: https://doi.org/10.1007/BF00149288