- #1

math6

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i have some point that i didn't understand when i read the article of ALEXEI KOVALEV, if you can help me to answer to this question: we can found the article in this lien (

www.dpmms.cam.ac.uk/~agk22/vb.pdf )

1- why a vector from vector subspace must be spanned just by {∂/(∂a^i )}

2-why does he mean when he said that ( θ_p^i )cannot all vanish on a vertical vector.

3-why we must have [ f_k^i (p) ] and [ g_k^i (p)] smooth to define a field of horizantal subspaces

4- i didn't understand the linearity of function [e_k^i (p) ] " are linear in the fibre variables.

thnx very much.