On Quasi-Conformal Flat Para-Sasakian Manifolds
Yıl: 2020 Cilt: 12 Sayı: 2 Sayfa Aralığı: 86 - 91 Metin Dili: İngilizce DOI: 10.47000/tjmcs.765297 İndeks Tarihi: 29-07-2022
On Quasi-Conformal Flat Para-Sasakian Manifolds
Öz: In this paper, we present some new results on invariant submanifolds of a para-Sasakian manifold under the quasi-conformally flatness condition. Firstly, we examine flatness of quasi-conformal curvature tensor on para-Sasakian manifolds. We prove that a quasi-conformally flat para-Sasakian manifold is an $ eta $-Einstein manifold. Also, we give some results on the sectional curvature of such manifolds. Secondly, we consider the invariant submanifolds of a quasi-conformally flat para-Sasakian manifold. We prove that a totally umbilical submanifold of a para-Sasakian manifold is invariant. In addition, we investigate curvature properties of such submanifolds and we show that a totally umbilical invariant submanifold of a quasi-conformally flat para-Sasakian manifold is an $ eta $-Einstein manifold. Finally, we work on the sectional curvature properties of an invariant submanifold of a quasi-conformally flat para-Sasakian manifold.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Ünal İ, SARI R (2020). On Quasi-Conformal Flat Para-Sasakian Manifolds. , 86 - 91. 10.47000/tjmcs.765297 |
| Chicago | Ünal İnan,SARI Ramazan On Quasi-Conformal Flat Para-Sasakian Manifolds. (2020): 86 - 91. 10.47000/tjmcs.765297 |
| MLA | Ünal İnan,SARI Ramazan On Quasi-Conformal Flat Para-Sasakian Manifolds. , 2020, ss.86 - 91. 10.47000/tjmcs.765297 |
| AMA | Ünal İ,SARI R On Quasi-Conformal Flat Para-Sasakian Manifolds. . 2020; 86 - 91. 10.47000/tjmcs.765297 |
| Vancouver | Ünal İ,SARI R On Quasi-Conformal Flat Para-Sasakian Manifolds. . 2020; 86 - 91. 10.47000/tjmcs.765297 |
| IEEE | Ünal İ,SARI R "On Quasi-Conformal Flat Para-Sasakian Manifolds." , ss.86 - 91, 2020. 10.47000/tjmcs.765297 |
| ISNAD | Ünal, İnan - SARI, Ramazan. "On Quasi-Conformal Flat Para-Sasakian Manifolds". (2020), 86-91. https://doi.org/10.47000/tjmcs.765297 |
| APA | Ünal İ, SARI R (2020). On Quasi-Conformal Flat Para-Sasakian Manifolds. Turkish Journal of Mathematics and Computer Science, 12(2), 86 - 91. 10.47000/tjmcs.765297 |
| Chicago | Ünal İnan,SARI Ramazan On Quasi-Conformal Flat Para-Sasakian Manifolds. Turkish Journal of Mathematics and Computer Science 12, no.2 (2020): 86 - 91. 10.47000/tjmcs.765297 |
| MLA | Ünal İnan,SARI Ramazan On Quasi-Conformal Flat Para-Sasakian Manifolds. Turkish Journal of Mathematics and Computer Science, vol.12, no.2, 2020, ss.86 - 91. 10.47000/tjmcs.765297 |
| AMA | Ünal İ,SARI R On Quasi-Conformal Flat Para-Sasakian Manifolds. Turkish Journal of Mathematics and Computer Science. 2020; 12(2): 86 - 91. 10.47000/tjmcs.765297 |
| Vancouver | Ünal İ,SARI R On Quasi-Conformal Flat Para-Sasakian Manifolds. Turkish Journal of Mathematics and Computer Science. 2020; 12(2): 86 - 91. 10.47000/tjmcs.765297 |
| IEEE | Ünal İ,SARI R "On Quasi-Conformal Flat Para-Sasakian Manifolds." Turkish Journal of Mathematics and Computer Science, 12, ss.86 - 91, 2020. 10.47000/tjmcs.765297 |
| ISNAD | Ünal, İnan - SARI, Ramazan. "On Quasi-Conformal Flat Para-Sasakian Manifolds". Turkish Journal of Mathematics and Computer Science 12/2 (2020), 86-91. https://doi.org/10.47000/tjmcs.765297 |
