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.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Suárez-Serrato, P. The volume flux group and nonpositive curvature. Ann Glob Anal Geom 36, 61–65 (2009). https://doi.org/10.1007/s10455-008-9148-2
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DOI: https://doi.org/10.1007/s10455-008-9148-2