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Euclidean hypersurfaces with isometric Gauss maps

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References

  1. Abe, K., Erbacher, J.: Isometric immersions with the same Gauss map. Math. Ann.215, 197–201 (1975)

    Google Scholar 

  2. Calabi, E.: Quelques applications de l'analyse complexe aux surfaces d'aire minima, Topics in complex manifolds. Univ. of Montreal, Montreal, Canada 1968, pp. 59–81

    Google Scholar 

  3. Chen, B. Y., Yamaguchi, S.: Classification of surfaces with totally geodesic Gauss image. Indiana Math. J.32, 143–154 (1983)

    Google Scholar 

  4. Dajczer, M.: Reduction of the codimension of regular isometric immersions. Math. Z.179, 263–286 (1982)

    Google Scholar 

  5. Dajczer, M., Gromoll, D.: Gauss parametrizations and rigidity aspects of submanifolds. To appear in J. Differ. Geom.

  6. Dajczer, M., Gromoll, D.: Real Kaehler submanifolds and uniqueness of the Gauss map. To appear in Differ. Geom.

  7. Hoffman, D., Osserman, R.: The Gauss map of surfaces in ℝN. J. Differ. Geom.18, 733–754 (1983)

    Google Scholar 

  8. Lawson, H. B.: Complete minimal surfaces inS 3. Ann. of Math.90, 335–374 (1970)

    Google Scholar 

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Authors and Affiliations

  1. IMPA, Est. Dona Castorina 110, 22460, Rio de Janeiro, Brazil

    Marcos Dajczer

  2. Department of Mathematics, S.U.N.Y. at Stony Brook, 11794, Stony Brook, N.Y., USA

    Detlef Gromoll

Authors
  1. Marcos Dajczer
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  2. Detlef Gromoll
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Additional information

Research partially supported by CNPq, Brazil

Partially supported by NSF Contract MCS 8102758A02, and the Alexander von Humboldt Foundation

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Dajczer, M., Gromoll, D. Euclidean hypersurfaces with isometric Gauss maps. Math Z 191, 201–205 (1986). https://doi.org/10.1007/BF01164024

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  • DOI: https://doi.org/10.1007/BF01164024

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