
constant gauss curvature surfaces
Posted:
Apr 22, 2013 4:59 AM


For surfaces z = f( r, theta ) in polar coordinates, z = f( r ) surfaces of revolution exist. (examples: sphere and pseudosphere)
But z = f( th ) twisted surfaces do not and cannot exist.
Is this correct?
Also, constant negative gauss curvature ruled surfaces do not exist.
Is this correct? If not, what are some examples ?
TIA
Narasimham

