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21 p, 427.4 KB Macroscopic schoen conjecture for manifolds with nonzero simplicial volume / Balacheff, Florent Nicolas (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Karam, Steve (Lebanese University)
We prove that given a hyperbolic manifold endowed with an auxiliary Riemannian metric whose sectional curvature is negative and whose volume is sufficiently small in comparison to the hyperbolic one, we can always find for any radius at least 1 a ball in its universal cover whose volume is bigger than the hyperbolic one. [...]
2019 - 10.1090/tran/7765
Transactions of the American Mathematical Society, Vol. 372, Num. 10 (November 2019) , p. 7071-7086  

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