辛映射 的英文怎麼說
中文拼音 [xīnyìngshè]
辛映射
英文
symplectic mapping-
This paper is to study harmonic maps into symplectic groups and local isometric immersions into space forms by means of the soliton theory. by realizing an action of the rational loop group on the spaces of corrsponding solutions, we get the backlund transformation and the darboux transformation, and thereby we give the explicit construction for harmonic maps into symplectic groups and local isometric immersions into space forms via purely algebraic algorithm
主要用孤立子理論研究到辛群的調和映射和到空間形式的局部等距浸入，通過有理loop群在其解空間上的dressing作用，給出b icklund變換和darboux變換的顯式表示，從而獲得到辛群及其對稱空間的調和映射和到空間形式的局部等距浸入的純代數構造方法。Its content may be separated into two parts. the first part contains chapter one and chapter two, which treat of the harmonic maps from surface into symplectic groups and quaternion grassmann manifolds. the second part contains chapter three and chapter four, which treat of local isometric immersions from space forms or riemannian products of space forms into space forms
全文分四章，內容可分為兩部分：第一部分包括第一、二章，主要論涉從曲面到辛群及四元grassmann流形的調和映射；第二部分包括第三、四章，主要論涉從空間形式或空間形式的局部riemann積到空間形式的局部等距浸入。The relation between gilbert reid and yuan shikai refracts the change of chinese and foreign relationship, and reflectes missionary ' s attitute to yuan shikai and 1911 revolution
李佳白與袁世凱的關系折射出庚子事變后中外關系的變化，也反映了傳教士對袁世凱和辛亥革命的態度。In the study of the lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. outside of a large disc, using the symplectic transformation of the hamilton system to estimate the iteration of the successor map. applying the moser ' s small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded
在碰撞運動的lagrange穩定性的討論中，給出了漸近線性方程碰撞解有界或無界的條件，在充分大的圓盤外，通過hamilton系統的辛坐標變換的角度平均來估計后繼映射的迭代，應用moser小扭轉定理得到不變曲線從而給出在一定條件下碰撞解有界的證明，碰撞解無界性的證明將採用直接估計后繼映射的方法給出。分享友人