Harmonic Maps Surfaces and Relativistic Strings

AIMS Mathematics

卷:1

Paul Bracken¹ 

[1] Department of Mathematics, University of Texas, Edinbrug, TX, 78540-2999, USA;

关键词: harmonic map| curvature| surface| soliton| sigma models;   

DOI  :  10.3934/Math.2016.1.1

来源: DOAJ

【 摘 要 】

The harmonic map is introduced and several physical applications are presented. The classical nonlinear σ model can be looked at as the embedding of a two-dimensional surface in a threedimensional sphere, which is itself embedded in a four-dimensional space. A system of nonlinear evolution equations are obtained by working out the zero curvature condition for the Gauss equations relevant to this geometric formulation.

【 授权许可】

Unknown