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Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung

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Literatur

  1. Chern, S. S., do Carmo, M., Kobayashi, S.: Minimal submanifolds of a sphere with second fundamental form of constant length. Functional analysis and related fields. Proceedings of a conference in honor of Professor Marshall Stone, 1968. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  2. Erbacher, J.: Reduction of the codimension of an isometric immersion. J. Diff. Geometry5, 333–340 (1971)

    Google Scholar 

  3. Ferus, D.: On the type number of hypersurfaces in spaces of constant curvature. Math. Ann.187, 310–316 (1970)

    Google Scholar 

  4. Henke, W.: Über die isometrische Fortsetzbarkeit isometrischer Immersionen der Standard-m-SphäreS m(⊂ ℝm+1) in ℝm+2. Math. Ann.219, 261–276 (1976)

    Google Scholar 

  5. Henke, W.: Über die Existenz isometrischer Immersionen der Kodimension 2 von sphärischen Raumformen in Standard-Räume. Math. Ann.222, 89–95 (1976)

    Google Scholar 

  6. Kato, T.: Perturbation theory for linear operators. Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

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

    Google Scholar 

  8. Nomizu, K.: Some results in E. Cartans theory of isoparametric families of hypersurfaces. Bull. Amer. Math. Soc.79, 1184–1188 (1973)

    Google Scholar 

  9. O'Neill, B.: Umbilics of constant curvature immersions. Duke Math. J.32, 149–159 (1965)

    Google Scholar 

  10. Otsuki, T.: On principal normal vector fields of submanifolds in a Riemannian manifold of constant curvature. J. Math. Soc. Japan22, 35–46 (1970)

    Google Scholar 

  11. Smyth, B.: Submanifolds of constant mean curvature. Math. Ann.205, 265–280 (1973)

    Google Scholar 

  12. Walden, R.: Untermannigfaltigkeiten mit paralleler zweiter Fundamentalform in euklidischen Räumen und Sphären. manuscripta math.10, 91–102 (1973)

    Google Scholar 

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

    Google Scholar 

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  1. Mathematisches Institut der Universität, Weyertal 86-90, D-5000, Köln 41, Bundesrepublik Deutschland

    Helmut Reckziegel

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  1. Helmut Reckziegel
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Reckziegel, H. Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung. Math. Ann. 223, 169–181 (1976). https://doi.org/10.1007/BF01360880

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  • DOI: https://doi.org/10.1007/BF01360880

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