Turkish Journal of Mathematics
Abstract
We introduce radical anti-invariant lightlike submanifolds of a semi Riemannian product manifold and give examples. After we obtain the conditions of integrability of distributions which are involved in the definition of radical anti-invariant lightlike submanifolds, we investigate the geometry of leaves of distributions. We also obtain the induced connection is a metric connection and a radical anti-invariant lightlike submanifold is a product manifold under certain conditions. Finally, we study totally umbilical radical anti-invariant lightlike submanifolds and observe that they are totally geodesic under a condition.
DOI
-
Keywords
Degenerate Metric, Semi-Riemannian Product Manifold, r-Lightlike Submanifold, Locally Riemannian Product
First Page
429
Last Page
449
Recommended Citation
KILIÇ, E, & ŞAHİN, B (2008). Radical Anti-Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds. Turkish Journal of Mathematics 32 (4): 429-449. https://doi.org/-
