本书暂定概念:尚未进入正式概念库。下面是本书给出的定义原文。
定义 · 3.2 联络与曲率
然而,还有另一种求导的方式,它最终会被证明更为有用。这里的导数同样与一个向量场 X 相联系。不过这一次,我们引入一个不同的对象,称为联络(connection),用它把一点处的向量空间映射到另一点处的向量空间。这样得到的是一个与李导数不同的对象,称为协变导数(covariant derivative)。
英文原文
There is, however, a different way to take derivatives, one which ultimately will prove more useful. The derivative is again associated to a vector field X. However, this time we introduce a different object, known as a connection to map the vector spaces at one point to the vector spaces at another. The result is an object, distinct from the Lie derivative, called the covariant derivative.
出处:3.2 联络与曲率 · node a-fdefdaa689ca9327c8dc13d7 · 源节点 SHA-256 154c60e7c6c2f6d7…