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Immersions with parallel second fundamental form

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Bibliography

  1. Erbacher, J. A.: Reduction of the codimension of an isometric immersion. J. diff. Geometry5, 333–340 (1971)

    Google Scholar 

  2. Ferus, D.: Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht-Beispiele. Manuscripta math.12, 153–162 (1974)

    Google Scholar 

  3. Ferus, D.: Produkt-Zerlegungen von Immersionen mit paralleler zweiter Fundamentalform. Math. Ann.211, 1–5 (1974)

    Google Scholar 

  4. Kobayashi, S.: Induced connections and imbedded riemannian spaces. Nagoya Math. J.10, 15–25 (1956)

    Google Scholar 

  5. Kobayashi, S., Nomizu, K.: Foundations of differential geometry. II. New York-London: Interscience 1969

    Google Scholar 

  6. Koecher, M.: Imbedding of Jordan algebras, into Lie algebras. I. Amer. J. Math.89, 787–816 (1967)

    Google Scholar 

  7. Loos, O.: Symmetric spaces. I: General theory. New York: Benjamin 1969

    Google Scholar 

  8. Szczarba, R. H.: On the existence and rigidity of isometric immersions. Bull. Amer. math. Soc.75, 783–787 (1969)

    Google Scholar 

  9. Takeuchi, M., Kobayashi, S.: Minimal imbeddings ofR-spaces. J. diff. Geometry2, 203–215 (1968)

    Google Scholar 

  10. Vilms, J.: Submanifolds of euclidean space with parallel second fundamental form. Proc. Amer. math. Soc.32, 263–267 (1972)

    Google Scholar 

  11. Wolf, J. A.: Spaces of constant curvature. New York: McGraw-Hill 1967

    Google Scholar 

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Ferus, D. Immersions with parallel second fundamental form. Math Z 140, 87–93 (1974). https://doi.org/10.1007/BF01218650

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  • DOI: https://doi.org/10.1007/BF01218650

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