Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of ${\mathbb {R}}^{n+1}$ and ${\mathbb {H}}^{n+1}$

Nelli, Barbara; Rosenberg, Harold

doi:10.5802/aif.1597

Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of

ℝ^{n + 1}

and

ℍ^{n + 1}

Nelli, Barbara ; Rosenberg, Harold

Annales de l'Institut Fourier, Tome 47 (1997) no. 4, pp. 1209-1218

Abstract (VO)
Résumé

We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic $n$ -dimensional space and we obtain removable singularities theorems.

On considère des graphes de courbure scalaire ou de Gauss-Kronecker positive sur un disque épointé dans l’espace euclidien et hyperbolique de dimension $n$ et on obtient des résultats d’extension au point.

MR Zbl | 1 citation dans Numdam

DOI : 10.5802/aif.1597

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     author = {Nelli, Barbara and Rosenberg, Harold},
     title = {Some remarks on positive scalar and {Gauss-Kronecker} curvature hypersurfaces of ${\mathbb {R}}^{n+1}$ and ${\mathbb {H}}^{n+1}$},
     journal = {Annales de l'Institut Fourier},
     pages = {1209--1218},
     year = {1997},
     publisher = {Association des Annales de l'Institut Fourier},
     volume = {47},
     number = {4},
     doi = {10.5802/aif.1597},
     mrnumber = {98k:53080},
     zbl = {0878.53007},
     language = {en},
     url = {https://www.numdam.org/articles/10.5802/aif.1597/}
}

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Nelli, Barbara; Rosenberg, Harold. Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of ${\mathbb {R}}^{n+1}$ and ${\mathbb {H}}^{n+1}$. Annales de l'Institut Fourier, Tome 47 (1997) no. 4, pp. 1209-1218. doi: 10.5802/aif.1597

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