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On the existence of a connection with curvature zero

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Commentarii Mathematici Helvetici

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References

  1. W. Ambrose andI. M. Singer,A theorem on holonomy, Trans. Amer. Math. Soc. 75 428–443 (1953).

    Article  MathSciNet  MATH  Google Scholar 

  2. L. Auslander andL. Markus,Holonomy of flat affinely connected manifolds, Ann. Math. 62 (1955) 139–151.

    Article  MathSciNet  Google Scholar 

  3. J. P. Benzecri,Variétés localement plates, Thesis, Princeton University 1955.

  4. S. S. Chern,Topics in differential geometry (mimeographed), Institute for Advanced Study, Princeton 1951.

    Google Scholar 

  5. S. S. Chern,On curvature and characteristic classes of a Riemann manifold, Abhandl. Math. Sem. Univ. Hamburg 20 (1955) 117–126.

    Article  MathSciNet  MATH  Google Scholar 

  6. N. H. Kuiper,Sur les surfaces localement affines, Colloque de Géometrie différentielle, Strasbourg 1953, 79–86.

  7. N. E. Steenrod,The topology of fibre bundles, Princeton 1951.

  8. L. Auslander,On Euler characteristics of locally affine spaces, to appear.

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Milnor, J. On the existence of a connection with curvature zero. Commentarii Mathematici Helvetici 32, 215–223 (1958). https://doi.org/10.1007/BF02564579

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  • DOI: https://doi.org/10.1007/BF02564579

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