Abstract.
We show that the systolic constant, the minimal volume entropy, and the spherical volume of a manifold depend only on the image of the fundamental class under the classifying map of the universal covering. Moreover, we compute the systolic constant of manifolds with fundamental group of order two (modulo the value for the real projective space) and derive an inequality between the minimal volume entropy and the systolic constant.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: February 2007, Revised: November 2007, Accepted: December 2007
Rights and permissions
About this article
Cite this article
Brunnbauer, M. Homological Invariance For Asymptotic Invariants and Systolic Inequalities. GAFA Geom. funct. anal. 18, 1087–1117 (2008). https://doi.org/10.1007/s00039-008-0677-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00039-008-0677-4