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 May 1st, 2009, 07:23 PM #1 Newbie   Joined: May 2009 Posts: 1 Thanks: 0 vector field A vector field in the usual torus T is obtained by parametrizing the meridians of T by arc length and defining w(p) as the velocity vector of the meridian through p. Prove that the vector field is differentiable.
 July 2nd, 2009, 03:44 PM #2 Member     Joined: Aug 2007 Posts: 42 Thanks: 4 Re: vector field Consider a point $p$ on $\mathbb{T}$, a coordinate neighbourhood $U$ of $p$ and (a section of a) meridian $c(s), \ -\epsilon=

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