On some types of light-like submanifolds of poly-Norden semi-Riemannian manifolds

Author:

Acet Tuba1,Yüksel Perktaş2,Kiliç Erol1

Affiliation:

1. Faculty of Arts and Sciences, Department of Mathematics, İnönü University, Malatya, Turkey

2. Faculty of Arts and Sciences, Department of Mathematics, Adıyaman University, Adıyaman, Turkey

Abstract

In this paper, we initiate the study of poly-Norden generalized CR-light-like submanifolds and poly-Norden screen transversal CR-light-like submanifolds of poly-Norden semi-Riemannian manifolds. We give examples for such types light-like submanifolds and investigate the conditions for both integrability and totally geodesic foliation descriptions of distributions.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference20 articles.

1. GJ. Galloway, Lecture Notes on Spacetime Geometry, Beijing International Mathematics Research Center 2007.

2. DN. Küpeli, Singular Semi-Riemannian Geometry, Kluwer Acad. Publishers, Dortrecht, 1996.

3. KL. Duggal, A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Mathematics and Its Applications, Kluwer Publisher, 1996.

4. CE. Hretcanu, MC. Crasmareanu, On some invariant submanifolds in a Riemannian manifold with golden structure, Analele Stiintifice Ale Universitatii Cuza Iasi (N.S.) 53 (2007) 199-211.

5. KL. Duggal, B. Şahin, Screen conformal half-lightlike submanifolds, International Journal of Matematics and Matematical Sciences 68 (2004) 3737-3753.

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