The volume flux group and nonpositive curvature

Pablo Su\'arez-Serrato
Arxiv ID: 0805.3970Last updated: 2/15/2022
We show that every closed nonpositively curved manifold with non-trivial volume flux group has zero minimal volume, and admits a finite covering with circle actions whose orbits are homologically essential. This proves a conjecture of Kedra-Kotschick-Morita for this class of manifolds.

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