Mathematische Annalen· 2026Q1
Minimal volume entropy of mapping tori over 3-manifolds
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- 2026year
Short summary
The minimal volume entropy of mapping tori over oriented closed smooth 3-manifolds is proven to vanish.
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Key points
- Minimal volume entropy of mapping tori over oriented closed smooth 3-manifolds is shown to be zero.
- The proof utilizes a variation of the amenable category.
- A specific version of minimal volume entropy for homology classes, introduced by Babenko and Sabourau, is applied.
AI-generated from the title and abstract; the full text is not read.
Abstract
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.
The authors' abstract, as published at the source. Mathematische Annalen, 2026 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics