Work

Scalar curvature, volume, and Weil-Petersson translation length

Year: 2026

Type: preprint

Abstract: We construct metrics on pseudoAnosov mapping tori that make every fiber an intrinsically hyperbolic stable minimal surface, and which have scalar curvature identically -6. Using this, we give a new proof (with improved constant) of an inequality bounding the hyperbolic volume of a pseudoAnosov mapping torus by the Weil-Petersson translation length (and consequently, the entropy) of its monodromy.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.21885

Author: Rudd, Cameron Gates

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7222499477

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