The volume flux group and nonpositive curvature
Arxiv ID: 0805.3970•Last 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.
PaperStudio AI Chat
I'm your research assistant! Ask me anything about this paper.