The volume flux group and nonpositive curvature
arXiv:0805.3970 · doi:10.1007/s10455-008-9148-2
Abstract
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.
6 pages, final version, to appear in Ann. Global Analysis and Geometry