Liouville Action for Harmonic Diffeomorphisms
Differential Geometry
2021-11-03 v2 Complex Variables
Abstract
In this paper, we introduce a Liouville action for a harmonic diffeomorphism from a compact Riemann surface to a compact hyperbolic Riemann surface of genus . We derive the variational formula of this Liouville action for harmonic diffeomorphisms when the source Riemann surfaces vary with a fixed target Riemann surface.
Keywords
Cite
@article{arxiv.2105.11074,
title = {Liouville Action for Harmonic Diffeomorphisms},
author = {Jinsung Park},
journal= {arXiv preprint arXiv:2105.11074},
year = {2021}
}