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Scalar curvature and volume entropy of hyperbolic 3-manifolds

  • Demetre Kazaras

    Duke University, Durham, USA

  • Antoine Song

    California Institute of Technology, Pasadena, USA
    ORCID

  • Kai Xu

    Duke University, Durham, USA
    ORCID
Scalar curvature and volume entropy of hyperbolic 3-manifolds cover

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Abstract

We show that any closed hyperbolic -manifold admits a Riemannian metric with scalar curvature at least , but with volume entropy strictly larger than . In particular, this construction gives counterexamples to a conjecture of I. Agol, P. Storm and W. Thurston.

Cite this article

Demetre Kazaras, Antoine Song, Kai Xu, Scalar curvature and volume entropy of hyperbolic 3-manifolds. J. Eur. Math. Soc. (2025), published online first

DOI 10.4171/JEMS/1710