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What is Geometry of Möbius Strip Curves about?

This document presents a gauge-invariant framework for understanding the geometry of closed space curves, specifically focusing on the twist and linking number that are independent of the frame used. It derives a frame-independent version of the Călugăreanu-White-Fuller theorem and applies this to the boundary curves of Möbius-type strips, revealing critical geometric properties that change with the strip

Author

vishesharada

Language

EN