On kinematics and differential geometry of Euclidean submanifolds


TUNÇER Y., YAYLI Y., Saǧel M. K.

Balkan Journal of Geometry and its Applications, cilt.13, sa.2, ss.102-111, 2008 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2008
  • Dergi Adı: Balkan Journal of Geometry and its Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.102-111
  • Anahtar Kelimeler: homothetic motion, darboux frame, darboux vector
  • Uşak Üniversitesi Adresli: Evet

Özet

In this study, we derive the equations of a motion model of two smooth homothetic along pole curves submanifolds M and N; the curves are trajectories of instantaneous rotation centers at the contact points of these submanifolds. We comment on the homothetic motions, which assume sliding and rolling. © Balkan Society of Geometers, Geometry Balkan Press 2008.