Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

Semi-Slant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds

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Authors: S. KUMAR AND A. YADAV

DOI: 10.46793/KgJMat2501.141K

Abstract:

The aim of our paper is to introduce the notion of semi-slant lightlike submanifolds of golden semi-Riemannian manifolds. We give non-trivial examples of semi-slant lightlike submanifolds and provide a characterization theorem of such submanifolds. Further, we obtain necessary and sufficient conditions for integrability of the distributions and investigate the geometry of the leaves of the foliation determined by the distributions. We also obtain a necessary and sufficient condition for the induced connection to be a metric connection. Finally, we obtain necessary and sufficient condition for mixed-geodesic semi-slant lightlike submanifold of golden semi-Riemannian manifold.

Keywords:

Golden structure, golden semi-Riemannian manifolds, gauss and weingarten formulae, lightlike submanifolds.

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