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Elements of Differential Geometry

Year: 2026
Type: article
Abstract: This paper presents a review of fundamental concepts in differential geometry, with an emphasis on the kinematics of curves in three-dimensional space. The tangent, principal normal, and binormal vectors are introduced using the Frenet frame formalism. Additionally, the composition of velocities and accelerations in moving reference frames is discussed, leading to the classical transport and Coriolis acceleration components.
Language: English
Open Access status: green
OpenAlex ID: W7203641769
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