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Lokale Kennzeichnungen der Minimalhyperregelflächen

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Abstract

Generalized ruled hypersurfaces are generated by a one-parameter family of (n−2)-dimensional linear subspaces of the n-dimensional Euclidean space En. In this paper we give local characterizations of generalized ruled hypersurfaces with an everywhere vanishing mean curvature.

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Literatur

  1. AUMANN,G.: Zur Theorie der (k+1)-Gratregelflächen. S.-B. Österr. Akad. d. Wiss. Wien189, 101–127 (1980)

    Google Scholar 

  2. AUMANN,G.: Zur Theorie verallgemeinerter torsaler Strahlflächen. Mh. Math.91, 171–179 (1981)

    Google Scholar 

  3. AUMANN,G.: Die Minimalhyperregelflächen. Manuscripta Math.34 293–304 (1981)

    Google Scholar 

  4. BRAUNER,H.: Differentialgeometrie. Braunschweig/Wiesbaden 1981

  5. CATALAN,E.: Sur les surfaces réglées dont l'aire est un minimum. J. Math. Pures Appl.7, 203–211 (1842)

    Google Scholar 

  6. FRANK,H, GIERING,O.: Verallgemeinerte Regelflächen. Math. Z.150, 261–271 (1976)

    Google Scholar 

  7. ROBERTS,M.: Sur les surfaces dont les rayons de courbure sont égaux, mais dirigés es sens opposés. J. Math. Pures Appl.11, 300–312 (1846)

    Google Scholar 

  8. THAS,C.: Minimal Monosystems. Yokohama Math. J.26, 157–167 (1978)

    Google Scholar 

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Aumann, G. Lokale Kennzeichnungen der Minimalhyperregelflächen. Manuscripta Math 37, 127–134 (1982). https://doi.org/10.1007/BF01239950

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  • DOI: https://doi.org/10.1007/BF01239950

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