The volume flux group and nonpositive curvature
Geometric Topology
2022-02-15 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.0805.3970,
title = {The volume flux group and nonpositive curvature},
author = {Pablo Suárez-Serrato},
journal= {arXiv preprint arXiv:0805.3970},
year = {2022}
}
Comments
6 pages, final version, to appear in Ann. Global Analysis and Geometry