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Isometrische Immersionen des n-dim. hyperbolischen raumes Hn in E4n-3;

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Abstract

The hyperbolic n-space Hn of constant negative curvature -1 can be isometrically C∞-immersed in Euclidean (4n+3)-space E4n+3;. Explicit formulas are given and the ideas leading to these formulas are pointed out.

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Literatur

  1. BLANUŠA, D.: Über die Einbettung hyperbolischer Räume in euklidische Räume. Monatsh. Math.59, 217–229 (1955)

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  2. GROMOV, M.L., ROKHLIN, V.A.: Erabeddings and immersions in Riemannian geometry. Russ. Math. Surv.25, 1–57 (1970)

    Google Scholar 

  3. HILBERT, D.: Über Flächen von konstanter Gauβscher Krümmung. Trans. Am. Math. Soc.2, 87–99 (1901)

    Google Scholar 

  4. ROZENDORN, E.R.: Realization of the metric ds2=du2+f2(u)dv2 in five-dimensional Euclidean space. Dokl. Akad. Nauk Arm. SSR30, 197–199 (1960)

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  5. SPIVAK, M.: A comprehensive introduction to differential geometry, Vol. 5. Boston: Publish or Perish 1975

    Google Scholar 

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Authors and Affiliations

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

    Wolfgang Henke

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  1. Wolfgang Henke
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Henke, W. Isometrische Immersionen des n-dim. hyperbolischen raumes Hn in E4n-3; . Manuscripta Math 34, 265–278 (1981). https://doi.org/10.1007/BF01165540

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  • DOI: https://doi.org/10.1007/BF01165540

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