Nous étudions la convergence spectrale des variétés riemanniennes compactes par rapport à la distance de Gromov-Hausdorff et discutons des distances géodésiques et des formes d'énergie des espaces de limites.
We study the spectral convergence of compact Riemannian manifolds in relation with the Gromov-Hausdorff distance and discuss the geodesic distances and the energy forms of the limit spaces.
@article{AIF_2002__52_4_1219_0,
author = {Kasue, Atsushi},
title = {Convergence of Riemannian manifolds and Laplace operators. I},
journal = {Annales de l'Institut Fourier},
volume = {52},
year = {2002},
pages = {1219-1257},
doi = {10.5802/aif.1916},
mrnumber = {1927079},
zbl = {1040.53053},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_2002__52_4_1219_0}
}
Kasue, Atsushi. Convergence of Riemannian manifolds and Laplace operators. I. Annales de l'Institut Fourier, Tome 52 (2002) pp. 1219-1257. doi : 10.5802/aif.1916. http://gdmltest.u-ga.fr/item/AIF_2002__52_4_1219_0/
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