Bibliography
Erbacher, J. A.: Reduction of the codimension of an isometric immersion. J. diff. Geometry5, 333–340 (1971)
Ferus, D.: Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht-Beispiele. Manuscripta math.12, 153–162 (1974)
Ferus, D.: Produkt-Zerlegungen von Immersionen mit paralleler zweiter Fundamentalform. Math. Ann.211, 1–5 (1974)
Kobayashi, S.: Induced connections and imbedded riemannian spaces. Nagoya Math. J.10, 15–25 (1956)
Kobayashi, S., Nomizu, K.: Foundations of differential geometry. II. New York-London: Interscience 1969
Koecher, M.: Imbedding of Jordan algebras, into Lie algebras. I. Amer. J. Math.89, 787–816 (1967)
Loos, O.: Symmetric spaces. I: General theory. New York: Benjamin 1969
Szczarba, R. H.: On the existence and rigidity of isometric immersions. Bull. Amer. math. Soc.75, 783–787 (1969)
Takeuchi, M., Kobayashi, S.: Minimal imbeddings ofR-spaces. J. diff. Geometry2, 203–215 (1968)
Vilms, J.: Submanifolds of euclidean space with parallel second fundamental form. Proc. Amer. math. Soc.32, 263–267 (1972)
Wolf, J. A.: Spaces of constant curvature. New York: McGraw-Hill 1967
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ferus, D. Immersions with parallel second fundamental form. Math Z 140, 87–93 (1974). https://doi.org/10.1007/BF01218650
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01218650