Radical anti-invariant lightlike submanifolds of semi-Riemannian product manifolds
Küçük Resim Yok
Tarih
2008
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
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. © TÜBİTAK.
Açıklama
Anahtar Kelimeler
Degenerate metric, Locally Riemannian product, r-lightlike submanifold, Semi-Riemannian product manifold
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
32
Sayı
4