A study on the geometry of totally umbilical (TU) screen-transversal (ST) lightlike submanifolds of metallic semi-Riemannian manifolds
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Date
2022-03-19T00:00:00
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American Institute of Physics Inc.
Abstract
We scrutinize geometry of TU screen-transversal(ST) lightlike submanifolds. Two classes, TU radical ST lightlike submanifolds and TU ST anti-invariant lightlike submanifolds, are studied. The necessary and sufficient conditions for the distributions to be integrable and the induced connection to be a Levi-Civita or metric connection on these mentioned lightlike submanifolds are derived. Further, some important results are established on the geometry of these submanifolds. This paper contributes various important results that help the further study of the geometry of metallic semi-Riemannian manifolds. � 2022 Author(s).