An ℓ₁-norm-mass inequality for complete manifolds

2022/03/08 by Campagnolo, Caterina, Wang, Shi
#Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Primary 53C23 #Secondary 57R57

paper · doi:10.48550/arxiv.2203.04131

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.

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