Effective contraction of skinning maps

TL;DR

This paper derives an explicit formula for the contraction constant of the skinning map in hyperbolic geometry, aiding understanding of deformation spaces of hyperbolic manifolds.

Contribution

It provides a new explicit formula for the contraction constant of the skinning map using elementary hyperbolic geometry techniques.

Findings

Explicit formula for contraction constant derived

Applicable to moduli spaces of relatively acylindrical hyperbolic manifolds

Enhances understanding of deformation properties in hyperbolic geometry

Abstract

Using elementary hyperbolic geometry, we give an explicit formula for the contraction constant of the skinning map over moduli spaces of relatively acylindrical hyperbolic manifolds.