Screen pseudo semi-slant lightlike submanifolds of golden semi-Riemannian manifolds
DOI:
https://doi.org/10.2298/FIL2607613AKeywords:
Degenerate metric, golden semi-Riemannian manifold, lightlike submanifold, slant, partial differential equationsAbstract
In this note, we define a new class of lightlike submanifolds of golden semi-Riemannian
manifolds which include anti-invariant, invariant, and slant distributions within a same sub
manifold of the ambient manifold. Moreover, we prove the necessary and sufficient conditions
for the distributions of such submanifolds to be integrable, and also the cases when they are
geodesic. At last, we give a non-trivial example of Scree pseudo semi-slant lightlike submani
folds using partial differential equations.