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Evolution of Generalized Space Curve as a Function of Its Local Geometry

Evolution of Generalized Space Curve as a Function of Its Local Geometry
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摘要 Kinematics of moving generalized curves in a n-dimensional Euclidean space is formulated in terms of intrinsic geometries. The evolution equations of the orthonormal frame and higher curvatures are obtained. The integrability conditions for the evolutions are given. Finally, applications in R2 are given and plotted. Kinematics of moving generalized curves in a n-dimensional Euclidean space is formulated in terms of intrinsic geometries. The evolution equations of the orthonormal frame and higher curvatures are obtained. The integrability conditions for the evolutions are given. Finally, applications in R2 are given and plotted.
出处 《Applied Mathematics》 2014年第15期2381-2392,共12页 应用数学(英文)
关键词 INELASTIC CURVE CURVE Flow EVOLUTION of CURVES Inelastic Curve Curve Flow Evolution of Curves
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