Bertrand and hyperelastic curves on Riemannian manifolds

• Datum: 2026
• 1. Verfasser: Çalışkan, Abdussamet
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8357
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 514.76, 514.75 We introduce the notion of Bertrand curves on Riemannian manifolds. The necessary conditions for a curve on a Riemannian manifold to be a Bertrand curve are obtained in the form of differential equations. Then, necessary and sufficient conditions are found for the Bertrand curve t...