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

• 作者: Mariam T. Al-Dossary Nassar H. Abdel-All Samah G. Mohamed
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: INELASTIC CURVE CURVE FLOW EVOLUTION of CURVES
• 年，卷（期）: 2014,（15）
• 页码范围: 2381-2392
• 页数: 12页
• 分类号: O1

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.