Question: For question two, I've got the answer however it is hard to follow. Can you explain the following questions? Or give a more specific progress

For question two, I've got the answer however it is hard to follow. Can you explain the following questions? Or give a more specific progress for this question ?

  1. What is X or X|_v? Is the first v mentioned meant to be the tangent space at p (i.e. V_p)? Or is it meant to be thevector field? In what sense is (v,(X_1,...,X_n) a coordinate system?
  2. Whatis a_i (it's introduced before it's used in an equation). What is \pi?

For question two, I've got the answer however it is hard to

\f\f

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