Abstract:
The Golden Ratio is fascinating topic that continually generated news ideas. A semi-Riemannian manifold endowed with a Golden Structure will be called a golden semi-Riemannian manifold. The main purpose of the present paper is to study the geometry of invariant lightlike submanifolds of golden semi-Riemannian manifolds. We investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these manifolds to be a metric connection.
