Hello,

Let M be a Riemannian Manifold, Levi-Civita-Connection and the induced covariant derivative along curves.

Let be a curve and an intervall, Z a vector field along c.

Can someone help me find out why the following statement is true?

(The left is the covariant derivative along c and the right is the covariant derivative along ).

I already know that if X and Y are vector fields along c and if then .

Regards,

engmaths