Why curvatures (mean and Gaussian) of the surface depends only u-parameter (not v-parameter) in 3-space?
For example:
For a helicoidal surface H(u,v)=(u*cos(v),u*sin(v),Phi(u)+a*v) ;
H=H(u) and K=K(u).
Dear Erhan, do you mean "curvatures of all 3-dimensional surfaces depend on only u-parameter" or do you mean "curvatures of helicoidal surfaces depend on only u-parameter"?
How can we seperate (or know) curvature depends on "u-parameter" or "v-parameter" for surfaces?
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