The volume flux group and nonpositive curvature

Details The volume flux group and nonpositive curvature The volume flux group and nonpositive curvature

2008-05-26

arxiv.org/abs/0805.3970v2

Mathematics

Geometric Topology

6 pages, final version, to appear in Ann. Global Analysis and Geometry

Scientific paper

10.1007/s10455-008-9148-2

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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