Title of article :
Slant Submanifolds of Golden Riemannian Manifolds
Author/Authors :
Bahadir, Oguzhan K.S.U.Kahramanmaras , Uddin, Siraj King Abdulaziz University
Abstract :
In this paper, we study slant submanifolds of Riemannian manifolds with Golden structure. A Riemannian manifold (M˜ , g˜, ϕ) is
called a Golden Riemannian 2manifold if the (1, 1) tensor field ϕ on M˜ is
a Golden structure, that is ϕ = ϕ + I and the metric g˜ is ϕ− compat-
ible. First, we get some new results for submanifolds of a Riemannian manifoldwithGoldenstructure.Laterwecharacterizeslantsubmani-
folds of a Riemannian manifold with Golden structure and provide some
non-trivial examples of slant submanifolds of Golden Riemannian man
Keywords :
Invariantsubmanifolds , anti-invariant , slant submanifolds , goldenstructure , riemannianmanifolds