摘要
本文用变分学观点统一讨论测地线、极小曲面、极小子流形、调和映照、Yang-Mills场;导出 J.Eells 最近提出的指数调和映照的第一变分公式,并讨论这些几何对象间的关系.
In this paper,geodesic curves,minimal surfaces,minima! submanifo- lds,homological mappings,Yong-Mills fields ware generally studied from the aspects of Variational Caculus.Their Lagrange's functions and Eu- ler's equations were given respectively.At last,the author yields the first formula of exponential harmonical mappings which Eells suggested recently.
出处
《阜阳师范学院学报(自然科学版)》
1991年第2期23-29,共7页
Journal of Fuyang Normal University(Natural Science)