Spin Structures on Flat Manifolds with Cyclic Holonomy

REFERENCES

• Charlap , L. S. ( 1986 ). Bieberbach Groups and Flat Manifolds . Springer .
   Google Scholar
• Dekimpe , K. , Sadowski , M. , Szczepański , A. ( 2006 ). Spin structures on flat manifolds . Monatsh. Math. 148 : 283 – 296 .
   Google Scholar
• Friedrich , T. ( 2000 ). Dirac Operators in Riemannian Geometry . AMS, Graduate Studies in Math. Vol. 25 Providence, Rhode Island .
   Google Scholar
• Gagola , S. M. Jr. , Garrison , III. S. C. ( 1982/1986 ). Real characters, double covers, and the multiplier . J. Algebra 74 : 20 – 51 ; II, J. Algebra 98:38–75 .
   Web of Science ®Google Scholar
• The GAP Group (2004). GAP–Groups, Algorithms, and Programming, Version 4.4. Available at: http://www.gap-system.org .
   Google Scholar
• Griess , R. L. Jr. ( 1970 ). A sufficient condition for a finite group to have a nontrivial Schur multiplier . Not. Amer. Math. Soc. 17 : 644 .
   Google Scholar
• Hiller , H. ( 1985 ). Flat manifolds with Z/p 2 holonomy . Enseign. Math. 31 : 283 – 297 .
   Google Scholar
• Hiller , H. Minimal dimension of flat manifolds with abelian holonomy . Unpublished .
   Google Scholar
• Im , S. M. , Kim , H. K. ( 1999 ). Compact flat manifolds with non-vanishing Stiefel-Whitney classes . Topology Appl. 96 : 267 – 276 .
   Google Scholar
• Lawson , H. B. Jr. , Michelsohn , M.-L. ( 1989 ). Spin Geometry, Princeton Mathematical Series , 38 . Princeton , NJ : Princeton University Press .
   Google Scholar
• Miatello , R. J. , Podestá , R. A. ( 2004 ). Spin structures and spectra of -manifolds . Math. Z. 247 : 319 – 335 .
   Google Scholar
• Tirao , P. ( 2001 ). Primitive compact flat manifolds with holonomy group ℤ2⊕ℤ2 . Pacific J. Math. 198 : 207 – 233 .
   Google Scholar
• Communicated by S. K. Sehgal.
   Google Scholar