Answer to Question #351035 in Differential Geometry | Topology for Anna

Question #351035

Let x(s) be a curve with arc length parametrization, and satisfies "||x(s)||\\leq ||x(s_0)||\\leq1" for all s sufficiently close to x0. Prove "\\kappa" (s0) > 1. (Hint: Consider f(s) = ||x(s)|| 2 . Then f(s) has a local maximum at s0. Calculate f''(s0))


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