An $\ell_1$-norm-mass inequality for complete manifolds
Autor: | Campagnolo, Caterina, Wang, Shi |
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Rok vydání: | 2022 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We generalize an inequality of Besson-Courtois-Gallot about volume and simplicial volume of closed manifolds to the $\ell_1$-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. Comment: 16 pages. Final version, to appear at Annales de l'Institut Fourier |
Databáze: | arXiv |
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