Cosh-Gordon equation and quasi-Fuchsian groups
V.V.Fock

TL;DR
This paper explores the connections between 3D gravity phase space, quasi-Fuchsian group moduli, cosh-Gordon equations, and minimal surfaces in hyperbolic spaces, proposing several supporting propositions.
Contribution
It introduces new propositions linking these mathematical and physical concepts, enhancing understanding of their interrelations.
Findings
Established relations between 3D gravity phase space and quasi-Fuchsian groups
Linked cosh-Gordon equations to minimal surfaces in hyperbolic spaces
Proposed propositions supporting these mathematical connections
Abstract
We show a few propositions in favour of relations between the phase space of 3D gravity, moduli of quasi-Fuchsian groups, global solutions of cosh-Gordon equations and minimal surfaces in hyperbolic spaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Black Holes and Theoretical Physics
