Harmonic Maps Surfaces and Relativistic Strings

AIMS Mathematics

Paul Bracken¹ 

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

DOI  :  10.3934/Math.2016.1.1

学科分类：数学（综合）

来源: AIMS Press

【 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】

CC BY