An $\ell_1$-norm-mass inequality for complete manifolds

Autor:	Campagnolo, Caterina, Wang, Shi
Rok vydání:	2022
Předmět:	Mathematics - Geometric Topology Mathematics - Differential Geometry Primary 53C23 Secondary 57R57
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
Externí odkaz:	http://arxiv.org/abs/2203.04131 Zobrazit plný text záznamu View this record from Arxiv