The geometry of line-symmetric rigid-body motions

BAYRIL AYKUT D., Selig J.

Differential Geometry and its Application, cilt.100, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 100
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1016/j.difgeo.2025.102270
  • Dergi Adı: Differential Geometry and its Application
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Anahtar Kelimeler: Half-turns, Line-symmetric motion, Rigid-body motions, Ruled surfaces
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this work the kinematic geometry of line-symmetric rigid-body motions is revisited. These motions are produced by reflecting a rigid body in the successive generator lines of a ruled surface. Classical results are re-derived using methods from Lie algebra and new results are found. In particular, results for some of the acceleration properties of these motions are found using the Sannia frame of the ruled surfaces. The ruled surfaces considered are given by the tangent, normal or binormal lines to smooth curves as well as Catalan surfaces and right conoids.