We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic -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 et on obtient des résultats d’extension au point.
@article{AIF_1997__47_4_1209_0, 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}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {47}, number = {4}, year = {1997}, doi = {10.5802/aif.1597}, zbl = {0878.53007}, mrnumber = {98k:53080}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1597/} }
TY - JOUR AU - Nelli, Barbara AU - Rosenberg, Harold TI - Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of ${\mathbb {R}}^{n+1}$ and ${\mathbb {H}}^{n+1}$ JO - Annales de l'Institut Fourier PY - 1997 SP - 1209 EP - 1218 VL - 47 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1597/ DO - 10.5802/aif.1597 LA - en ID - AIF_1997__47_4_1209_0 ER -
%0 Journal Article %A Nelli, Barbara %A Rosenberg, Harold %T Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of ${\mathbb {R}}^{n+1}$ and ${\mathbb {H}}^{n+1}$ %J Annales de l'Institut Fourier %D 1997 %P 1209-1218 %V 47 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1597/ %R 10.5802/aif.1597 %G en %F AIF_1997__47_4_1209_0
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, Volume 47 (1997) no. 4, pp. 1209-1218. doi : 10.5802/aif.1597. https://aif.centre-mersenne.org/articles/10.5802/aif.1597/
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