A fully nonlinear equation in relativistic Teichmüller theory

DOI10.1142/S0129167X19400044zbMath1435.35383arXiv1905.02911OpenAlexW2966836437MaRDI QIDQ5207384

Luen-Fai Tam, Tom Yau-Heng Wan

Publication date: 20 December 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02911

zbMATH Keywords

Teichmüller spaceEinstein equationsMonge-Ampère type equationTT-tensors

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Monge-Ampère equations (35J96)

Related Items

Big-bang limit of 2 + 1 gravity and Thurston boundary of Teichmüller space

Cites Work

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• \(2+1\)-dimensional gravity as an exactly soluble system
• A geometric characterization of harmonic diffeomorphisms between surfaces
• The Teichmüller theory of harmonic maps
• Harmonic maps, length, and energy in Teichmüller space
• Elliptic-hyperbolic systems and the Einstein equations
• The Self-Duality Equations on a Riemann Surface