sk1001
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Smooth transition map (easy!?)
Check the transition map
http://img132.imageshack.us/img132/4341/18142532.png
is smooth in the set for which their images intersect
I have thought of two ways to show this.
(1) Show that Φ is a composition of two smooth functions and is therefore smooth.
(2) compute the composite function and then prove that is smooth
Which way do you suggest?
I have attempted method (1) to some extent, but wondering if method (2) is easier.
Homework Statement
Check the transition map
http://img132.imageshack.us/img132/4341/18142532.png
is smooth in the set for which their images intersect
The Attempt at a Solution
I have thought of two ways to show this.
(1) Show that Φ is a composition of two smooth functions and is therefore smooth.
(2) compute the composite function and then prove that is smooth
Which way do you suggest?
I have attempted method (1) to some extent, but wondering if method (2) is easier.
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