Non-linear In The The Grassmann Manifold Contact

It can be caculated the connection of association bundle by the differentiation. Thisarticle reviews the definitions and the theorems of bundles and manifolds first, and thenanalys the connection's structure from the analys of the projection space.At last, three examples are given to press the specific structure of the nonlinear con-nection,and the relationship of the connection for it's principal bundle.