Systolic almost-rigidity modulo 2

  • Hannah Alpert

    Auburn University, Auburn, USA
  • Alexey Balitskiy

    Institute for Advanced Study, Princeton, USA; University of Luxembourg, Esch-sur-Alzette, Luxembourg
  • Larry Guth

    Massachusetts Institute of Technology, Cambridge, USA
Systolic almost-rigidity modulo 2 cover

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Abstract

No power law systolic freedom is possible for the product of mod  systoles of dimension and codimension . This means that any closed -dimensional Riemannian manifold of bounded local geometry obeys the following systolic inequality: the product of its mod  systoles of dimensions and is bounded from above by , if finite (if is non-trivial).

Cite this article

Hannah Alpert, Alexey Balitskiy, Larry Guth, Systolic almost-rigidity modulo 2. J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1498