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BibTex RIS Kaynak Göster

Yıl 2021, Cilt: 9 Sayı: 2, 310 - 315, 15.10.2021

Mehmet Atçeken Pakize Uygun

Öz

Kaynakça

  • Arslan, K.; Lumiste, U.; Murathan, C.; Özgür, C.; 2-Semiparallel Surfaces in Space Forms 1. Two Particular Cases. Proc. Estonian Acad. Sci. Phys. Math. 49(3), 139-148, 2000.
  • Atceken, M.; Yildirim, Ü.; Dirik, S. Semiparallel Submanifolds of a Normal Paracontact Metric Manifold. Hacet. J. Math. Stat. Volume 48 (2) (2019), 501 509.
  • Blair, D. E.; Koufogiorgos, T.; Papatoniou, B. J. Contact Metric Manifolds Satisfying a Nullity Conditions. Israel J. Math. 91(1995). 189-214.
  • Cappletti-Montano,; Küpeli, B.; Erkan, I.; Murathan, C. Nullity Conditions in Paracontact Geometry. Di®. Geom. Appl. 30(2012). 665-693.
  • Koneyuki, S.; Williams, F. I. Almost Paracontact and Paragodge Structures on Manifolds. Nayoga Maht. J. 99(1985, 173-187.)
  • Özgür, C.; Gürler, F.; Murathan, C. On Semiparallel Anti Invariant Submanifolds of Generalized Sasakian Space forms, Turk J. Math. 38, 796-802, 2014.
  • Zamkovay, S. Canonical Connection on Paracontact Manifolds. Ann. Global Anal. Geom. 36(2009) 37-60.
  • Hui, S. K., Uddin, S and Mandal, P. Submanifolds of generalized (·; ¹)-space forms. Period Math Hung 77, 329-339(2018). https://doi.org//10.1007/S10998-018-0248-x.
  • Hui, S. K., Uddin, S., Alkhaldi, A. H and Mandal, P. Invariant submanifolds of generalized Sasakian-space-forms. International Journal of Geometric Methods in Modern Physics. Vol. 15(2018)1850149(21 pages)https://doi.org/10.1142/50219887818501499.

A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms

Yıl 2021, Cilt: 9 Sayı: 2, 310 - 315, 15.10.2021

Mehmet Atçeken Pakize Uygun

Öz

The aim of this paper is to study the invariant submanifolds of a $(\kappa, \mu)$-paracontact metric space form. We characterize $(\kappa,\mu)$-paracontact metric space form satisfying the curvature conditions $\nabla\sigma$=0, $R\cdot{\sigma}=0$, $R\cdot{\nabla\sigma}=0$ and $\widetilde{C}\cdot\sigma=0$. Finally, we see that these conditions are equivalent to $\sigma=0$.

Anahtar Kelimeler

(k,m)-paracontact metric space form, semi-parallel submanifold, 2-semi-parallel submanifold, concircular semi-parallel submanifold

Kaynakça

  • Arslan, K.; Lumiste, U.; Murathan, C.; Özgür, C.; 2-Semiparallel Surfaces in Space Forms 1. Two Particular Cases. Proc. Estonian Acad. Sci. Phys. Math. 49(3), 139-148, 2000.
  • Atceken, M.; Yildirim, Ü.; Dirik, S. Semiparallel Submanifolds of a Normal Paracontact Metric Manifold. Hacet. J. Math. Stat. Volume 48 (2) (2019), 501 509.
  • Blair, D. E.; Koufogiorgos, T.; Papatoniou, B. J. Contact Metric Manifolds Satisfying a Nullity Conditions. Israel J. Math. 91(1995). 189-214.
  • Cappletti-Montano,; Küpeli, B.; Erkan, I.; Murathan, C. Nullity Conditions in Paracontact Geometry. Di®. Geom. Appl. 30(2012). 665-693.
  • Koneyuki, S.; Williams, F. I. Almost Paracontact and Paragodge Structures on Manifolds. Nayoga Maht. J. 99(1985, 173-187.)
  • Özgür, C.; Gürler, F.; Murathan, C. On Semiparallel Anti Invariant Submanifolds of Generalized Sasakian Space forms, Turk J. Math. 38, 796-802, 2014.
  • Zamkovay, S. Canonical Connection on Paracontact Manifolds. Ann. Global Anal. Geom. 36(2009) 37-60.
  • Hui, S. K., Uddin, S and Mandal, P. Submanifolds of generalized (·; ¹)-space forms. Period Math Hung 77, 329-339(2018). https://doi.org//10.1007/S10998-018-0248-x.
  • Hui, S. K., Uddin, S., Alkhaldi, A. H and Mandal, P. Invariant submanifolds of generalized Sasakian-space-forms. International Journal of Geometric Methods in Modern Physics. Vol. 15(2018)1850149(21 pages)https://doi.org/10.1142/50219887818501499.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Mehmet Atçeken

Pakize Uygun

Yayımlanma Tarihi 15 Ekim 2021
Gönderilme Tarihi 18 Kasım 2020
Kabul Tarihi 20 Eylül 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 9 Sayı: 2

Kaynak Göster

APA Atçeken, M., & Uygun, P. (2021). A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms. Konuralp Journal of Mathematics, 9(2), 310-315.
AMA Atçeken M, Uygun P. A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms. Konuralp J. Math. Ekim 2021;9(2):310-315.
Chicago Atçeken, Mehmet, ve Pakize Uygun. “A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms”. Konuralp Journal of Mathematics 9, sy. 2 (Ekim 2021): 310-15.
EndNote Atçeken M, Uygun P (01 Ekim 2021) A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms. Konuralp Journal of Mathematics 9 2 310–315.
IEEE M. Atçeken ve P. Uygun, “A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms”, Konuralp J. Math., c. 9, sy. 2, ss. 310–315, 2021.
ISNAD Atçeken, Mehmet - Uygun, Pakize. “A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms”. Konuralp Journal of Mathematics 9/2 (Ekim 2021), 310-315.
JAMA Atçeken M, Uygun P. A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms. Konuralp J. Math. 2021;9:310–315.
MLA Atçeken, Mehmet ve Pakize Uygun. “A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms”. Konuralp Journal of Mathematics, c. 9, sy. 2, 2021, ss. 310-5.
Vancouver Atçeken M, Uygun P. A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms. Konuralp J. Math. 2021;9(2):310-5.
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