Abstract

In this paper, we introduce the notion of slant lightlike submanifold of a golden semi-Riemannian manifold and provide a characterization theorem with some non-trivial examples of such submanifolds. We find necessary and sufficient conditions for integrability of distributions. Finally, we study curvature properties of slant lightlike submanifolds of golden semi-Riemannian manifolds.

Keywords: Golden structure; golden semi-Riemannian manifolds; Gauss and Weingarten formulae; lightlike submanifolds; curvature-invariant.

MSC: 53C15, 53C40, 53C50

DOI: 10.57016/MV-lrbm6444

Pages:  175$-$188     

Volume  75 ,  Issue  3 ,  2023