Scalar curvature and volume entropy of hyperbolic 3-manifolds

2023/11/30 by Kazaras, Demetre, Song, Antoine, Xu, Kai · 1 citation
#53C20 #57K32 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2312.00138

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.

Cited by

• Scalar Curvature in Dimension 4

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