On Systolic Zeta Functions
Differential Geometry
2017-05-02 v2
Abstract
We define Dirichlet type series associated with homology length spectra of Riemannian, or Finsler, manifolds, or polyhedra, and investigate some of their analytical properties. As a consequence we obtain an inequality analogous to Gromov's classical intersystolic inequality, but taking the whole homology length spectrum into account rather than just the systole.
Cite
@article{arxiv.1612.01672,
title = {On Systolic Zeta Functions},
author = {Ivan Babenko and Daniel Massart},
journal= {arXiv preprint arXiv:1612.01672},
year = {2017}
}