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Cubic form Theorem for Affine Immersions

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References

  1. Blaschke, W., Differentialgeometrie, Band II, Springer, Berlin, 1923

    MATH  Google Scholar 

  2. Dajczer, M. and Rodriguez, L., Substantial codimension of submanifolds: global results, IMPA preprint 1986

  3. Erbacher, J., Reduction of the codimension of an isometric immersion, J. Differential Geometry 5 (1971), 338–340

    MathSciNet  Google Scholar 

  4. Ferus, D., Symmetric submanifolds of Euclidean space, Math. Ann. 247 (1980), 81–93

    Article  MathSciNet  MATH  Google Scholar 

  5. Klingenberg, W., Über das Einspannungsproblem in der projektiven und affinen Differentialgeometrie, Math. Z. 55 (1952), 321–345

    Article  MathSciNet  MATH  Google Scholar 

  6. Nomizu, K. and Pinkall U., On a certain class of homogeneous projectively flat manifolds, SFB/MPI Preprint 85/44; to appear in Tohoku Math J.

  7. Nomizu, K. and Pinkall U., On the geometry of affine immersions, MPI Preprint 86-28, to appear in Math.Z.

  8. Simon, U., Zur Relativgeometrie: Symmetrische Zusammenhänge auf Hyperflächen, Math. Z. 106(1968), 36–46 [ai]9]_Simon, U., Zur Entwicklung der affinen Differentialgeometrie nach Blaschke, Gesammelte Werke Blaschke, Band 4, Thales Verlag, Essen, 1985

    Article  MathSciNet  MATH  Google Scholar 

  9. Spivak, M., A Comprehensive Introduction to Differential Geometry, Vol. 5, Publish or Perish Inc. 1975

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Nomizu, K., Pinkall, U. Cubic form Theorem for Affine Immersions. Results. Math. 13, 338–362 (1988). https://doi.org/10.1007/BF03323250

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