Scalar curvature and volume entropy of hyperbolic 3-manifolds
We show that any closed hyperbolic 3 -manifold M admits a Riemannian metric with scalar curvature at least -6 , but with volume entropy strictly larger than 2 . In particular, this construction gives counterexamples to a conjecture of I. Agol, P. Storm and W. Thurston.
Authors
- Demetre Kazaras (ORCID: https://orcid.org/0000-0003-0638-2778)
- Antoine Song (ORCID: https://orcid.org/0000-0001-8285-6627)
- Kai Xu (ORCID: https://orcid.org/0000-0001-8914-039X)
Institutions
- California Institute of Technology (US)
- Duke University (US)
Publication Details
- Journal
- Journal of the European Mathematical Society
- Published
- 2025-09-10
- DOI
- https://doi.org/10.4171/jems/1710
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00