On systolic zeta functions
Résumé
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.
Domaines
Géométrie différentielle [math.DG]Origine | Fichiers produits par l'(les) auteur(s) |
---|
Loading...