Ervin Hadziosmanovic

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math.GT2026

The bounded area class of negatively curved surfaces

Roberto Frigerio, Ervin Hadziosmanovic

Let $S$ be an oriented surface, possibly of infinite type, endowed with a complete Riemannian metric with pinched negative curvature. We prove that the area form defines a non-triv…

math.GT2026

Bounded cohomology classes from differential forms

Gian Maria Dall'Ara, Roberto Frigerio, Ervin Hadziosmanovic

Let $M$ be a complete hyperbolic $n$ -manifold, $n \geq 2$ . Via integration over geodesic simplices, any closed bounded differential 2-form on $M$ defines a bounded cohomology class…

math.GT2025

On the integral simplicial volume of cyclic covers of mapping tori

Federica Bertolotti, Ervin Hadziosmanovic

In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an $n$ -dimensio…

math.GT2025

Bounded volume class and Cheeger isoperimetric constant for negatively curved manifolds

Ervin Hadziosmanovic

We prove that for manifolds with negative curvature bounded away from $0$ of infinite volume and bounded geometry, the bounded fundamental class, defined via integration of the vol…