P. Bérard et D. Meyer ont démontré une inégalité du type Faber-Krahn pour les domaines d'une variété compacte à courbure de Ricci positive. Nous démontrons des résultats de stabilité associés à cette inégalité.
P. Bérard and D. Meyer proved a Faber-Krahn inequality for domains in compact manifolds with positive Ricci curvature. We prove stability results for this inequality
Classification : 53C20, 53C24, 58C40, 51K
Mots clés : géométrie riemannienne, distance de Gromov-Hausdorff, inégalité de Faber-Krahn, domaines convexes
@article{AIF_2005__55_2_353_0, author = {Bertrand, J\'er\^ome}, title = {Stabilit\'e de l'in\'egalit\'e de Faber-Krahn en courbure de Ricci positive}, journal = {Annales de l'Institut Fourier}, pages = {353--372}, publisher = {Association des Annales de l'institut Fourier}, volume = {55}, number = {2}, year = {2005}, doi = {10.5802/aif.2101}, zbl = {1080.53032}, mrnumber = {2147894}, language = {fr}, url = {www.numdam.org/item/AIF_2005__55_2_353_0/} }
Bertrand, Jérôme. Stabilité de l'inégalité de Faber-Krahn en courbure de Ricci positive. Annales de l'Institut Fourier, Tome 55 (2005) no. 2, pp. 353-372. doi : 10.5802/aif.2101. http://www.numdam.org/item/AIF_2005__55_2_353_0/
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