A new approach to canal surface with parallel transport frame

KİŞİ İ. , ÖZTÜRK G.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.14, 2017 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 14 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1142/s0219887817500268
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

Özet

the present study, we attend to the canal surfaces with the spine curve. according to the parallel transport frame in Euclidean 4-space E-4. We give an example of these surfaces and obtain some results about curvature conditions in E-4. Moreover, the visualizations of projections of canal surfaces are presented. Lastly, we give the necessary and sufficient conditions for canal surfaces to become weak superconformal.