On the Geometry of Lightlike Submanifolds in Metallic Semi-Riemannian Manifolds
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2018
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908474014695424 |
|---|---|
| author | Erdoğan, Feyza Esra Perktaş, Selcen Yüksel Acet, Bilal Eftal Blaga, Adara Monica |
| author_facet | Erdoğan, Feyza Esra Perktaş, Selcen Yüksel Acet, Bilal Eftal Blaga, Adara Monica |
| contents | In the present paper, we introduce screen transversal lightlike submanifolds of metallic semi-Riemannian manifolds with its subclasses, namely screen transversal anti-invariant, radical screen transversal and isotropic screen transversal lightlike submanifolds, and give an example. We show that there do not exist co-isotropic and totally screen transversal type of screen transversal anti-invariant lightlike submanifolds of a metallic semi-Riemannian manifold. We investigate the geometry of distributions involved in the definition of such submanifolds and the conditions for the induced connection to be a metric connection. Furthermore, we give a necessary and sufficient condition for an isotropic screen transversal lightlike submanifold to be totally geodesic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_06785 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On the Geometry of Lightlike Submanifolds in Metallic Semi-Riemannian Manifolds Erdoğan, Feyza Esra Perktaş, Selcen Yüksel Acet, Bilal Eftal Blaga, Adara Monica Differential Geometry 53C15, 53C25, 53C35 In the present paper, we introduce screen transversal lightlike submanifolds of metallic semi-Riemannian manifolds with its subclasses, namely screen transversal anti-invariant, radical screen transversal and isotropic screen transversal lightlike submanifolds, and give an example. We show that there do not exist co-isotropic and totally screen transversal type of screen transversal anti-invariant lightlike submanifolds of a metallic semi-Riemannian manifold. We investigate the geometry of distributions involved in the definition of such submanifolds and the conditions for the induced connection to be a metric connection. Furthermore, we give a necessary and sufficient condition for an isotropic screen transversal lightlike submanifold to be totally geodesic. |
| title | On the Geometry of Lightlike Submanifolds in Metallic Semi-Riemannian Manifolds |
| topic | Differential Geometry 53C15, 53C25, 53C35 |
| url | https://arxiv.org/abs/1805.06785 |