SLANT SUBMANIFOLDS OF GOLDEN RIEMANNIAN MANIFOLDS

In this paper, we study slant submanifolds of Riemannian manifolds with Golden structure. A Riemannian manifold (M, ˜ g, ϕ ˜ ) is called a Golden Riemannian manifold if the (1, 1) tensor field ϕ on M˜ is a Golden structure, that is ϕ2 = ϕ + I and the metric ˜g is ϕ− compatible. First, we get some new results for submanifolds of a Riemannian manifold with Golden structure. Later we characterize slant submanifolds of a Riemannian manifold with Golden structure and provide some non-trivial examples of slant submanifolds of Golden Riemannian manifolds.