Golden generic lightlike submanifolds of a golden semi-Riemannian manifold.

Autor: Pruthi, Megha, Kumar, Sangeet
Předmět:
Zdroj: Balkan Journal of Geometry & Its Applications; 2022, Vol. 27 Issue 1, p118-129, 12p
Abstrakt: In this paper, we introduce the concept of golden generic lightlike submanifolds of a golden semi-Riemannian manifold. We also present one non-trivial example of this class of lightlike submanifolds. Then, we derive necessary and sufficient conditions for the induced connection of golden generic lightlike submanifolds to be a metric connection. Further, we establish a characterization result for the integrability of the distributions associated with golden generic lightlike submanifolds. Finally, we analyze totally umbilical and minimal generic lightlike submanifolds of a golden semi-Riemannian manifold. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index