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arXiv · 2312.00138

Scalar curvature and volume entropy of hyperbolic 3-manifolds

Demetre Kazaras·Antoine Song·Kai Xu
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Abstract

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.

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Demetre Kazaras, Antoine Song, Kai Xu. 2023-11-30. Scalar curvature and volume entropy of hyperbolic 3-manifolds. https://arxiv.org/abs/2312.00138

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