Scholarlink

<p>We define higher-order Fermi–Walker derivatives of vector fields along curves in Euclidean 3-space using the Frenet–Serret frame. From the incompatibility of successive Fermi–Walker transports, we derive a geometric phase—termed the Fermi–Walker flow transport phase—which depends on the intrinsic geometry of the curve. We then examine this phase for various curve evolutions, including binormal, complex modified Korteweg–de Vries, and other integrable motions. Our formulation provides an explicit and unified method for computing the induced geometric phases in these settings.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Higher-Order Fermi–Walker Transport Dynamics and the Induced Geometric Phase

  • 期刊论文

  • 发表日期：

    2025年8月25日

查看全文
  • Rıdvan Cem Demirkol

摘要

We define higher-order Fermi–Walker derivatives of vector fields along curves in Euclidean 3-space using the Frenet–Serret frame. From the incompatibility of successive Fermi–Walker transports, we derive a geometric phase—termed the Fermi–Walker flow transport phase—which depends on the intrinsic geometry of the curve. We then examine this phase for various curve evolutions, including binormal, complex modified Korteweg–de Vries, and other integrable motions. Our formulation provides an explicit and unified method for computing the induced geometric phases in these settings.