A Note on harmonic maps
Differential Geometry
2020-11-17 v1 Analysis of PDEs
Abstract
In this note we will fill out the details from the recent work of Fotiadis and Daskaloyannis in arXiv:1903.05420v3, where the harmonic maps described by Y. Shi, L. Tam and T. Y.-H. Wan (in their work Harmonic Maps on Hyperbolic spaces with Singular Boundary Value, Differential Geometry 51(1999), 551-600) are written by the use of Jacobi elliptic functions. We also prove that the harmonic maps described by J. Wang in his work (The Heat Flow and Harmonic Maps between Complete Manifolds, The Gournal of Geometric Analysis, Volume 8, Number 3, 1998, 485-514) can be written by the use of Jacobi elliptic functions, too.
Keywords
Cite
@article{arxiv.2011.08079,
title = {A Note on harmonic maps},
author = {G. Polychrou},
journal= {arXiv preprint arXiv:2011.08079},
year = {2020}
}
Comments
To be published