- #1
mooshasta
- 31
- 0
Homework Statement
I'm trying to find a surface of revolution with Gauss curvature K of +1 at all points, which doesn't lie in a sphere.
Homework Equations
The surface is parametrized as [itex]\psi (t, \theta ) = ( x(t), y(t) cos \theta , y(t) sin \theta ) [/itex]
I have the equation
[tex]
K = \frac{x' (x'' y' - x' y'')}{y(x'^2 + y'^2)^2}
[/tex]
The Attempt at a Solution
I am thinking it has to do with the curve [itex] \alpha (t) = (x(t),y(t)) [/itex] not having unit speed, but I am kind of stuck as to where to go from there.
Thanks!