Radical Anti-Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds

Küçük Resim Yok

Tarih

2008

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Tubitak Scientific & Technological Research Council Turkey

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Degenerate Metric, Semi-Riemannian Product Manifold, r-Lightlike Submanifold, Locally Riemannian Product

Kaynak

Turkish Journal of Mathematics

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

32

Sayı

4

Künye