Golden slant lightlike submanifolds of golden semi-Riemannian manifolds


Sangeet Kumar, Tejinder Kumar, Megha Pruthi




We introduce the study of golden slant lightlike submanifolds of golden semi-Riemannian manifolds. After defining a golden slant lightlike submanifold of a golden semi-Riemannian manifold, we present a non-trivial example of such lightlike submanifolds. Then we derive a necessary and sufficient condition for the induced connection on a golden slant lightlike submanifold of a golden semi-Riemannian manifold to be a metric connection. Further, we establish some characterization results for the integrability of distributions arising in golden slant lightlike submanifolds of golden semi-Riemannian manifolds. Finally, we discuss the concept of minimal golden slant lightlike submanifolds.