Talk:Fiber derivative

Question about "dot"
In the following expression:


 * $$\mathbb{F}L(v) \cdot w = \frac{d}{ds}|_{s=0} L(v+sw)$$

am I to read "$$\cdot$$" as the natural pairing of a vector and a covector? It doesn't make sense to think of this symbol as the dot (i.e., inner) product of $$T^*Q$$ since $$w \in TQ$$. (I'd like to clarify the article... just making sure I'm on the right track.)Trevorgoodchild (talk) 19:12, 22 September 2008 (UTC)