Triharmonic curves along Riemannian submersions
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tamkang Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The purpose of this paper is to study triharmonic curves along Rie-mannian submersions from Riemannian manifolds onto Riemannian manifolds. Weobtain necessary and sufficient conditions for a triharmonic curve on the total man-ifold of Riemannian submersion from a space form to a Riemannian manifold to betriharmonic curve on the base manifold. The above research problem is also studiedin the complex setting of the manifold on which the Riemannian submersion is de-fined. In this case, first the condition of a given curve to be a triharmonic curve ina complex space form is given, and then the character of the triharmonic curve dur-ing Riemann submersion is examined. In addition, we give several results involvingcurvature conditions for a triharmonic curves along Riemannian submersions.
Açıklama
Anahtar Kelimeler
Riemannian Manifold, Complex Space Form, Riemannian Submersion, Bihar-Monic Curves, Triharmonic Curves
Kaynak
Tamkang Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
55
Sayı
1
