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Topic: constant gauss curvature surfaces
Replies: 5   Last Post: Jul 22, 2013 2:51 PM

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Posts: 359
Registered: 9/16/06
constant gauss curvature surfaces
Posted: Apr 22, 2013 4:59 AM
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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 ?



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