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math.GT2026
The bounded area class of negatively curved surfaces
Roberto Frigerio, Ervin Hadziosmanovic
Let 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
On the cup product of De Rham classes in bounded cohomology
Roberto Frigerio, Francesco Milizia
On a negatively curved closed manifold, there exists a well-defined map associating to every closed differential form a bounded cohomology class via integration over st…
math.GT2026
Bounded cohomology classes from differential forms
Gian Maria Dall'Ara, Roberto Frigerio, Ervin Hadziosmanovic
Let be a complete hyperbolic -manifold, . Via integration over geodesic simplices, any closed bounded differential 2-form on defines a bounded cohomology class…