An ℓ1-norm-mass inequality for complete manifolds

Campagnolo, Caterina; Wang, Shi

doi:10.5802/aif.3643

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An ℓ₁-norm-mass inequality for complete manifolds

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Wang, Shi
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.2203.04131
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https://doi.org/10.5802/aif.3643
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Campagnolo-Wang_An l_1-norm-mass inequality for complete manifolds_2024.pdf
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Citation

Campagnolo, C., & Wang, S. (2024). An ℓ₁-norm-mass inequality for complete manifolds. Annales de l'Institut Fourier, 74(3), 1297-1318. doi:10.5802/aif.3643.

Cite as: https://hdl.handle.net/21.11116/0000-000F-BAC7-F

Abstract

We generalize an inequality of Besson–Courtois–Gallot about volume and simplicial volume of closed manifolds to the ℓ1-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.