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

Erol KILIÇ; Bayram ŞAHİN

Makale detayları

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

Yazarlar:

Erol KILIÇ | Bayram ŞAHİN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2008 Vol.32 Issue 4, pp.429-449

Belge Tipi:

Makale

Yayın Tarihi:

3/2008

Belge Dili:

Türkçe

Document ID (Org No.):

2000748289

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

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.

 

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.

Makale detayları

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

Yazarlar:

Erol KILIÇ | Bayram ŞAHİN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2008 Vol.32 Issue 4, pp.429-449

Belge Tipi:

Makale

Yayın Tarihi:

3/2008

Belge Dili:

Türkçe

Document ID (Org No.):

2000748289

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Degenerate Metric

Semi-Riemannian Product Manifold

r-Lightlike Submanifold

Locally Riemannian Product

Sayı

Makale detayları

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

Yazarlar: Erol KILIÇ | Bayram ŞAHİN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2008 Vol.32 Issue 4, pp.429-449

Belge Tipi: Makale

Yayın Tarihi: 3/2008

Belge Dili: Türkçe

Document ID (Org No.): 2000748289

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Degenerate Metric

Semi-Riemannian Product Manifold

r-Lightlike Submanifold

Locally Riemannian Product

Sayı

Yazarlar:

Erol KILIÇ | Bayram ŞAHİN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2008 Vol.32 Issue 4, pp.429-449

Belge Tipi:

Makale

Yayın Tarihi:

3/2008

Belge Dili:

Türkçe

Document ID (Org No.):

2000748289

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098