Biharmonic curves along Riemannian maps
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the transformation of a bi-harmonic curve on the total manifold into a bi-harmonic curve on the base manifold along a Riemannian map between Riemannian manifolds is examined. In this direction, first, necessary and sufficient conditions are obtained for the Riemannian map between two Riemannian manifolds for the curve on the total manifold to be bi-harmonic curve on the base manifold. Afterwards, the case that the total manifold is a complex space form was taken into consideration and the bi-harmonic character of the curve on the base manifold was examined by considering appropriate conditions on the basic notions of the Riemannian map.
Açıklama
Anahtar Kelimeler
Riemannian manifold, complex space form, Riemannian map, bi-harmonic map, bi-harmonic curves
Kaynak
Filomat
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
38
Sayı
1
