1) sheaf of differential forms
微分形式的层
2) sheaf of germs of differential forms
微分形式芽层
3) degree of a differential form
微分形式的次数
5) sheaf of germs of regular differential form
正则微分形式芽层
6) differential form
微分形式
1.
The above conclusion is demonstrated in the light of poincare theorem, it is demonstrated by using contraction (interior product) of vector field and differential form as well as operation of exterior differentiation.
运用向量场与微分形式的缩并 (内积 )和外微分运算 ,并依照 Poincare定理论证电荷的运动规律可确定电磁场的运动规
2.
By estimating the koppelman kernel on Complex Manifolds, the difference between the koppelman kernel on complex manifolds and the Bochner Martinelli koppelman on C n was obtained;and then by utilizing the koppelman formula and the result as above, the jump formula of differential forms under Berndtsson transform on Complex manifolds was derived.
引入复流形上的Ｋｏｐｐｅｌｍ ａｎ 核与微分形式的Ｂｅｒｎｄｔｓｓｏｎ 变换， 并对复流上的Ｋｏｐｐｅｌｍ ａｎ 核进行估算，得出其与Ｃｎ 空间的Ｂｏｃｈｎｅｒ－Ｍａｒｔｉｎｅｌｌｉ－Ｋｏｐｐｅｌｍ ａｎ 核之差为Ｏ（－ ２ｎ ＋１ｎ ）。
3.
By the natural and harmonious relationship between differential forms and differential equations and between differential forms and vector analysis, we discuss the properties, which are covariant under the transformation of coordinates in the framework of differential forms, of particle motion in a central force field.
通过微分形式与微分方程和向量分析之间存在的自然而协调的关系，在微分形式框架下讨论了质点在有心力场中运动的特性并得出在坐标变换下其均是协变的
补充资料：微分形式
微分形式(differential form)是多变量微积分，微分拓扑和张量分析领域的一个数学概念。现代意义上的微分形式，及其以楔积和外微分结构形成外代数的想法，都是由著名法国数学家埃里·卡当(elie cartan)引入的。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条