[Une inégalité entre norme et masse pour les variétés complètes]
Nous généralisons une inégalité de Besson–Courtois–Gallot entre le volume et le volume simplicial des variétés fermées à la norme de toutes les classes d’homologie des variétés complètes. L’inégalité s’exprime en termes de l’exposant critique du groupe fondamental de la variété et de la masse des classes d’homologie.
We generalize an inequality of Besson–Courtois–Gallot about volume and simplicial volume of closed manifolds to the -norm of all the homology classes of complete manifolds. The inequality involves the critical exponent of the fundamental group of the manifold and the mass of the homology classes.
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Keywords: Gromov norm, critical exponent, mass, comass, complete manifold.
Mot clés : norme de Gromov, exposant critique, masse, comasse, variété complète.
Campagnolo, Caterina 1 ; Wang, Shi 2
CC-BY-ND 4.0
@article{AIF_2024__74_3_1297_0,
author = {Campagnolo, Caterina and Wang, Shi},
title = {An $\ell _1$-norm-mass inequality for complete manifolds},
journal = {Annales de l'Institut Fourier},
pages = {1297--1318},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {74},
number = {3},
year = {2024},
doi = {10.5802/aif.3643},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3643/}
}
TY - JOUR AU - Campagnolo, Caterina AU - Wang, Shi TI - An $\ell _1$-norm-mass inequality for complete manifolds JO - Annales de l'Institut Fourier PY - 2024 SP - 1297 EP - 1318 VL - 74 IS - 3 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3643/ DO - 10.5802/aif.3643 LA - en ID - AIF_2024__74_3_1297_0 ER -
%0 Journal Article %A Campagnolo, Caterina %A Wang, Shi %T An $\ell _1$-norm-mass inequality for complete manifolds %J Annales de l'Institut Fourier %D 2024 %P 1297-1318 %V 74 %N 3 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3643/ %R 10.5802/aif.3643 %G en %F AIF_2024__74_3_1297_0
Campagnolo, Caterina; Wang, Shi. An $\ell _1$-norm-mass inequality for complete manifolds. Annales de l'Institut Fourier, Tome 74 (2024) no. 3, pp. 1297-1318. doi : 10.5802/aif.3643. https://aif.centre-mersenne.org/articles/10.5802/aif.3643/
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