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Posted: **Tue Apr 26, 2022 7:31 pm**

: 4 Let A Be An Asymptotic Curve In M Cr With Curvature K 0 A Prove That The Binormal B Of A Is Normal To The Surface 1 (22.71 KiB) Viewed 112 times

4. Let a be an asymptotic curve in M CR with curvature k>0. (a) Prove that the binormal B of a is normal to the surface along a, and deduce that S(T) = TN. (b) Show that along a the surface has Gaussian curvature K = -1 (c) Use (b) to find the Gaussian curvature of the helicoid (Ex. 4.3).