THE CLASSICAL BERNOULLI-EULER ELASTIC CURVE IN A MANIFOLD

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Atıf İçin Kopyala

ALTIN A.

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

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 34 Sayı: 3
• Basım Tarihi: 2019
• Doi Numarası: 10.22190/fumi1903473a
• Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.473-480
• Hacettepe Üniversitesi Adresli: Evet

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.