论文标题
关于谐波图的注释
A Note on harmonic maps
论文作者
论文摘要
在本说明中,我们将填写Fotiadis和Daskaloyannis在Arxiv:1903.05420V3的最新工作中的细节,其中Y. Shi,L。Tam和T. Y.-H. Y. Shi所描述的谐波地图。 WAN(在其工作中的谐波图中,在具有奇异边界值的双曲线空间上,差异几何形状51(1999),551-600)是通过使用Jacobi椭圆函数写的。我们还证明,J。Wang在其作品中描述的谐波图(完整歧管之间的热流和谐波图,几何分析的新兴,第8卷,数字3,1998,485-514)也可以通过使用Jacobi Elliptic功能来写。
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.