Minimal volume entropy of mapping tori over 3-manifolds
Giuseppe Bargagnati, Alberto Casali, Francesco Milizia, Marco Moraschini
Published: 2025/9/22
Abstract
We prove that the minimal volume entropy of mapping tori over oriented closed smooth $3$-manifolds vanishes. Our approach uses a variation of the amenable category and a suitable version of the minimal volume entropy of a homology class introduced by Babenko and Sabourau.