THE CLASSICAL BERNOULLI-EULER ELASTIC CURVE IN A MANIFOLD


ALTIN A.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.34, sa.3, ss.473-480, 2019 (ESCI İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Konu: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.22190/fumi1903473a
  • Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Sayfa Sayıları: ss.473-480

Özet

In this study, we describe the classical Bernoulli-Euler elastic curve in a manifold by the property that the velocity vector field of the curve is harmonic. Then, a condition is obtained for the elastic curve in a manifold. Finally, we give an example which provides the condition mentioned in this paper and illustrate it with a figure.