Connection form
In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms. Historically, connection forms were introduced by Élie Cartan in the first half of the 20th century as part of, and one of the principal motivations for, his method of moving frames. The connection form generally depends on a choice of frame, and so is not a tensorial object. Various generalizations and reinterpretations of the connection form were formulated subsequent to Cartan's initial work. In particular, on a principal bundle, a principal connection is a natural reinterpretation of the connection form as a tensorial object. On the other hand, the connection form has the advantage that it is a different
Wikipage redirect
primaryTopic
Connection form
In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms. Historically, connection forms were introduced by Élie Cartan in the first half of the 20th century as part of, and one of the principal motivations for, his method of moving frames. The connection form generally depends on a choice of frame, and so is not a tensorial object. Various generalizations and reinterpretations of the connection form were formulated subsequent to Cartan's initial work. In particular, on a principal bundle, a principal connection is a natural reinterpretation of the connection form as a tensorial object. On the other hand, the connection form has the advantage that it is a different
has abstract
In mathematics, and specifical ...... bundle with a structure group.
@en
在数学,特别是微分几何中,一个联络形式(connection ...... ,考虑有附加结构的向量丛上的联络形式:即带有结构群的纤维丛。
@zh
数学、特に微分幾何学では、接続形式(connection f ...... 群であるファイバーバンドルの構造を付加したものと考えられる。
@ja
Wikipage page ID
Wikipage revision ID
743,504,197
hypernym
type
comment
In mathematics, and specifical ...... vantage that it is a different
@en
在数学,特别是微分几何中,一个联络形式(connection ...... ,考虑有附加结构的向量丛上的联络形式:即带有结构群的纤维丛。
@zh
数学、特に微分幾何学では、接続形式(connection f ...... vative)を通して、ゲージ理論の脈絡で広く使われている。
@ja
label
Connection form
@en
接続形式
@ja
联络形式
@zh