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.

Résumé
Abstract

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.

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.

MR Zbl | 1 citation dans Numdam

DOI : 10.5802/aif.1597

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     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},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {47},
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     year = {1997},
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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. http://www.numdam.org/articles/10.5802/aif.1597/

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