Submanifolds of almost poly-Norden Riemannian manifolds
Yıl: 2020 Cilt: 44 Sayı: 1 Sayfa Aralığı: 31 - 49 Metin Dili: İngilizce DOI: 10.3906/mat-1901-58 İndeks Tarihi: 04-05-2020
Submanifolds of almost poly-Norden Riemannian manifolds
Öz: Our aim in the present paper is to initiate the study of submanifolds in an almost poly-Norden Riemannianmanifold, which is a new type of manifold first introduced by Şahin [17]. We give fundamental properties of submanifoldsequipped with induced structures provided by almost poly-Norden Riemannian structures and find some conditionsfor such submanifolds to be totally geodesics. We introduce some subclasses of submanifolds in almost poly-NordenRiemannian manifolds such as invariant and antiinvariant submanifolds. We investigate conditions for a hypersurface ofalmost poly-Norden Riemannian manifolds to be invariant and totally geodesic, respectively, by using the components ofthe structure induced by the almost poly-Norden Riemannian structure of the ambient manifold. We also obtain somecharacterizations for totally umbilical hypersurfaces and give some examples of invariant and noninvariant hypersurfaces.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | PERKTAS S (2020). Submanifolds of almost poly-Norden Riemannian manifolds. , 31 - 49. 10.3906/mat-1901-58 |
| Chicago | PERKTAS Selcen Yüksel Submanifolds of almost poly-Norden Riemannian manifolds. (2020): 31 - 49. 10.3906/mat-1901-58 |
| MLA | PERKTAS Selcen Yüksel Submanifolds of almost poly-Norden Riemannian manifolds. , 2020, ss.31 - 49. 10.3906/mat-1901-58 |
| AMA | PERKTAS S Submanifolds of almost poly-Norden Riemannian manifolds. . 2020; 31 - 49. 10.3906/mat-1901-58 |
| Vancouver | PERKTAS S Submanifolds of almost poly-Norden Riemannian manifolds. . 2020; 31 - 49. 10.3906/mat-1901-58 |
| IEEE | PERKTAS S "Submanifolds of almost poly-Norden Riemannian manifolds." , ss.31 - 49, 2020. 10.3906/mat-1901-58 |
| ISNAD | PERKTAS, Selcen Yüksel. "Submanifolds of almost poly-Norden Riemannian manifolds". (2020), 31-49. https://doi.org/10.3906/mat-1901-58 |
| APA | PERKTAS S (2020). Submanifolds of almost poly-Norden Riemannian manifolds. Turkish Journal of Mathematics, 44(1), 31 - 49. 10.3906/mat-1901-58 |
| Chicago | PERKTAS Selcen Yüksel Submanifolds of almost poly-Norden Riemannian manifolds. Turkish Journal of Mathematics 44, no.1 (2020): 31 - 49. 10.3906/mat-1901-58 |
| MLA | PERKTAS Selcen Yüksel Submanifolds of almost poly-Norden Riemannian manifolds. Turkish Journal of Mathematics, vol.44, no.1, 2020, ss.31 - 49. 10.3906/mat-1901-58 |
| AMA | PERKTAS S Submanifolds of almost poly-Norden Riemannian manifolds. Turkish Journal of Mathematics. 2020; 44(1): 31 - 49. 10.3906/mat-1901-58 |
| Vancouver | PERKTAS S Submanifolds of almost poly-Norden Riemannian manifolds. Turkish Journal of Mathematics. 2020; 44(1): 31 - 49. 10.3906/mat-1901-58 |
| IEEE | PERKTAS S "Submanifolds of almost poly-Norden Riemannian manifolds." Turkish Journal of Mathematics, 44, ss.31 - 49, 2020. 10.3906/mat-1901-58 |
| ISNAD | PERKTAS, Selcen Yüksel. "Submanifolds of almost poly-Norden Riemannian manifolds". Turkish Journal of Mathematics 44/1 (2020), 31-49. https://doi.org/10.3906/mat-1901-58 |
