Özet:
In this paper, we give some properties of anti-invariant submanifolds of a golden Riemannian manifold. We obtain some necessary conditions for any submanifold in a locally decomposable golden Riemannian manifold to be anti-invariant. In these conditions, we also show that the submanifold is totally geodesic. We find a local orthonormal frame for the normal bundle of any anti-invariant submanifold of a locally decomposable golden Riemannian manifold. Finally, we demonstrate the existence of unit and mutually orthogonal normal vector fields such that their corresponding second fundamental tensors vanish identically under the assumption that the codimension of the anti-invariant submanifold is greater than its dimension. © Balkan Society of Geometers, Geometry Balkan Press 2020.