Recent content by sk1001

bump please

Smooth transition map (easy!?) 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...

I was confused before, read the question a little different. But your suggestion makes a lot more sense when I re-read the question. Thanks for the help!

ah of course, what am I talking about! so just to make things crystal clear.. σ(t,θ) = (coshtcosθ, coshtsinθ, t) σ(t,0) = (cosht, 0, t) Then I have an orthonormal basis v1 = u1/|u1| = (sinhtcosθ, sinhtsinθ, 1)/cosht v2 = u2/|u2| = (-coshtsinθ, coshtcosθ, 1)/cosht Now I plug θ=0 into...

thanks for the swift reply! yeah its a typo, last component of u2/v2 should be 0, just an error in copy & paste! I'm a bit confused with the second part you mentioned, putting theta = 0 into v1 and v2. How did you come to the conclusion that P are points where theta = 0? Anyhow, if I do...

Homework Statement Consider the surface patch σ(t,θ) = (coshtcosθ, coshtsinθ, t) where t is an element of the set of real numbers and θ is an element from (-pi, pi). Show that σ defines a regular surface patch and find an orthonormal basis for the tangent space (TpS) at points of the form...