affine connection中文

仿射聯絡

• affine:    adj. 【數學】遠交的，仿射的。
• connection:    n. 〔美國〕＝connexion. ...
• affine connection space:    仿射聯絡空間

例句與用法

1. Curvature tensor of an affine connection
   仿射聯絡的曲率張量
2. Affine connection space
   仿射聯絡空間

百科釋義

In the branch of mathematics called differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, and so permits tangent vector fields to be differentiated as if they were functions on the manifold with values in a fixed vector space. The notion of an affine connection has its roots in 19th-century geometry and tensor calculus, but was not fully developed until the early 1920s, by ?lie Cartan (as part of his general theory of connections) and Hermann Weyl (who used the notion as a part of his foundations for general relativity).