KaydedilenlerDerginizi ekleyin

Dergiler / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 5 Issue: 2

Examples of Almost Para-Contact Metric Structures on 5-dimensions

Ümmü Kocabaş(Eskişehir Teknik Üniversitesi)0000-0003-0946-5544
Şirin Aktay(Eskişehir Teknik Üniversitesi)0000-0003-2792-3481
Sayfa
—
Yayın Tarihi
2022-06-01
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It is also shown that there are no $\eta-$ Einstein structures on 5 dimensional nilpotent Lie algebras.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, the classes of several almost paracontact metric structures on 5 dimensional nilpotent Lie algebras are determined.
📊
Temel Bulgular & Veri:In this study, the classes of several almost paracontact metric structures on 5 dimensional nilpotent Lie algebras are determined.
💡
Sonuç & Katkı:It is also shown that there are no $\eta-$ Einstein structures on 5 dimensional nilpotent Lie algebras.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Almost paracontact metric structure · \eta-Einstein manifold · 5-dimensional nilpotent Lie algebra

Abstract

In this study, the classes of several almost paracontact metric structures on 5 dimensional nilpotent Lie algebras are determined. It is also shown that there are no $\eta-$ Einstein structures on 5 dimensional nilpotent Lie algebras.

🔖

Bu Makaleye Atıf Yap

Kocabaş, Ü., Aktay, Ş. (2022). Examples of Almost Para-Contact Metric Structures on 5-dimensions. Fundamental Journal of Mathematics and Applications, Volume: 5 Issue: 2. https://doi.org/10.33401/fujma.1049969

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (8)

  1. S. Kaneyuki, F. L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Math. J., 99 (1985), 173-187.
  2. S. Zamkovoy, Canonical connections on paracontact manifolds, Ann. Global Anal. Geom., 36 (2009), 37-60, https://doi.org/10.1007/s10455-008-9147-3.
  3. S. Zamkovoy, G. Nakova, The decomposition of almost paracontact metric manifolds in eleven classes revisited, J. Geom., 109 (1), (2018), 1-23.
  4. G. Nakova, S. Zamkovoy, Almost paracontact manifolds, (2009), arXiv:0806.3859v2 [math.DG].
  5. S. Zamkovoy, On para-Kenmotsu manifolds, Filomat, 32 (14) (2018), 4971-4980, https://doi.org/10.2298/FIL1814971Z.
  6. N. Özdemir, Ş. Aktay, M. Solgun, Almost paracontact structures obtained from G 2(2) structures, Turk. J. Math., 42 (2018), 3025-3022, https://doi.org/10.3906/mat-1706-10.
  7. J. Dixmier, Sur les repr ´ esentations unitaires des groupes de Lie nilpotentes III, Canad. J. Math., 10 (1958), 321-348.
  8. N. Özdemir, M. Solgun, Ş. Aktay, Almost paracontact metric structures on 5-dimensional nilpotent Lie algebras, Fundam. J. Math. Appl., 3 (2), (2020), 175-184, https://doi.org/10.33401/fujma.800222.