Submersion from semi-Riemannian manifolds onto lightlike manifolds

Şahin, Bayram; GÜNDÜZÜLALP, Yılmaz

Submersion from semi-Riemannian manifolds onto lightlike manifolds

Bayram ŞAHİN, (İnönü Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Malatya, Türkiye)

Yılmaz GÜNDÜZÜLALP (Dicle Üniversitesi, Eğitim Fakültesi, , Diyarbakır, Türkiye)

Hacettepe Journal of Mathematics and Statistics

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Yıl: 2010 Cilt: 39 Sayı: 1 Sayfa Aralığı: 41 - 53 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Submersion from semi-Riemannian manifolds onto lightlike manifolds

Öz:

In this paper, we introduce the idea of a lightlike submersion from a semi-Riemannian manifold onto a lightlike manifold, and give some examples. Then we define O’Neill’s tensors for such submersions and investigate their main properties. We show that the Schouten connection is not a metric connection in a lightlike submersion. We also investigate curvature properties of the manifolds and establish a relation between the null sectional curvatures of a semi-Riemannian manifold and a lightlike manifold.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Şahin B, GÜNDÜZÜLALP Y (2010). Submersion from semi-Riemannian manifolds onto lightlike manifolds. , 41 - 53.
Chicago	Şahin Bayram,GÜNDÜZÜLALP Yılmaz Submersion from semi-Riemannian manifolds onto lightlike manifolds. (2010): 41 - 53.
MLA	Şahin Bayram,GÜNDÜZÜLALP Yılmaz Submersion from semi-Riemannian manifolds onto lightlike manifolds. , 2010, ss.41 - 53.
AMA	Şahin B,GÜNDÜZÜLALP Y Submersion from semi-Riemannian manifolds onto lightlike manifolds. . 2010; 41 - 53.
Vancouver	Şahin B,GÜNDÜZÜLALP Y Submersion from semi-Riemannian manifolds onto lightlike manifolds. . 2010; 41 - 53.
IEEE	Şahin B,GÜNDÜZÜLALP Y "Submersion from semi-Riemannian manifolds onto lightlike manifolds." , ss.41 - 53, 2010.
ISNAD	Şahin, Bayram - GÜNDÜZÜLALP, Yılmaz. "Submersion from semi-Riemannian manifolds onto lightlike manifolds". (2010), 41-53.

APA	Şahin B, GÜNDÜZÜLALP Y (2010). Submersion from semi-Riemannian manifolds onto lightlike manifolds. Hacettepe Journal of Mathematics and Statistics, 39(1), 41 - 53.
Chicago	Şahin Bayram,GÜNDÜZÜLALP Yılmaz Submersion from semi-Riemannian manifolds onto lightlike manifolds. Hacettepe Journal of Mathematics and Statistics 39, no.1 (2010): 41 - 53.
MLA	Şahin Bayram,GÜNDÜZÜLALP Yılmaz Submersion from semi-Riemannian manifolds onto lightlike manifolds. Hacettepe Journal of Mathematics and Statistics, vol.39, no.1, 2010, ss.41 - 53.
AMA	Şahin B,GÜNDÜZÜLALP Y Submersion from semi-Riemannian manifolds onto lightlike manifolds. Hacettepe Journal of Mathematics and Statistics. 2010; 39(1): 41 - 53.
Vancouver	Şahin B,GÜNDÜZÜLALP Y Submersion from semi-Riemannian manifolds onto lightlike manifolds. Hacettepe Journal of Mathematics and Statistics. 2010; 39(1): 41 - 53.
IEEE	Şahin B,GÜNDÜZÜLALP Y "Submersion from semi-Riemannian manifolds onto lightlike manifolds." Hacettepe Journal of Mathematics and Statistics, 39, ss.41 - 53, 2010.
ISNAD	Şahin, Bayram - GÜNDÜZÜLALP, Yılmaz. "Submersion from semi-Riemannian manifolds onto lightlike manifolds". Hacettepe Journal of Mathematics and Statistics 39/1 (2010), 41-53.