Liouville Action for Harmonic Diffeomorphisms

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 ≥ 2. We derive the variational formula of this Liouville action for harmonic diffeomorphisms when the source Riemann surfaces vary with a fix...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Author: Park, Jinsung
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211430
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Liouville Action for Harmonic Diffeomorphisms. Jinsung Park. SIGMA 17 (2021), 097, 16 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine