Structures induced on hypersurfaces of meta-Golden Riemannian manifolds
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, our aim is to examine the hypersurfaces in almost meta-Golden Riemannian manifolds. First, properties of the induced structure on a hypersurface by meta-Golden Riemannian structures were investigated. After that a necessary and sufficient condition obtained for a hypersurface of a meta-Golden Riemannian manifold to be invariant. Then, totally geodesic, minimal and totally umbilical hypersurfaces were analyzed in the meta-Golden Riemann manifold, respectively. Invariant and noninvariant hypersurfaces of meta-Golden Riemann manifolds were also characterized. The relationships between the eigenvalues of the golden structure and the invariant and non-invariant hypersurfaces of the meta-Golden Riemann manifolds were investigated. Finally three examples of such hypersurfaces were given.
Açıklama
Anahtar Kelimeler
Chi ratio, Golden structure, meta-Golden structure, meta-Golden hypersurface
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
38
Sayı
27
