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What is Differential Geometry: Curves and Torsion about?

This document contains solutions to two questions regarding differential geometry and the Frenet-Serret formulas. Question 7 shows that if the curvature κ is non-zero and the torsion τ is equal to 0 for a curve α(s) in the xy-plane, then the curve must lie entirely in the xy-plane. Question 8 proves that the torsion τ is equal to the inner product of the derivative of the tangent vector T

Author

samdarkamo

Language

EN