Scalar curvature and volume entropy of hyperbolic 3-manifolds

Autor:	Kazaras, Demetre, Song, Antoine, Xu, Kai
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry Mathematics - Geometric Topology 53C20 57K32
Druh dokumentu:	Working Paper
Popis:	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. Comment: v2 update: statements strengthened, proofs simplified, references added. 14 pages, 2 figures. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.00138 Zobrazit plný text záznamu View this record from Arxiv