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Dergiler / International Electronic Journal of Geometry / 2020 / Volume: 13 Issue: 2

Almost Contact B-Metric Structure on 5-Dimensional Nilpotent Lie algebras

Şenay Bulut(Eskişehir Teknik Üniversitesi)0000-0002-0317-1791
Sevgi Enveş Ermiş0000-0002-5523-3157
Sayfa
—
Yayın Tarihi
2020-10-15
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we determine the class of $5-$dimensional nilpotent Lie algebras with almost contact $B-$metric structure.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The classification of almost contact $B-$metric manifolds is considered.
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Temel Bulgular & Veri:It is shown that $\mathcal{D}-$homothetic deformation of these manifolds in the class $\mathcal{F}_{i}$ $\left( i=0,1,4,5\right) $ remains in the same the class $\mathcal{F}_{i}$.
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Sonuç & Katkı:Finally, we determine the class of $5-$dimensional nilpotent Lie algebras with almost contact $B-$metric structure.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:5-dimensional nilpotent lie algebra · almost contact $B-$metric manifold · fundamental tensor

Abstract

The classification of almost contact $B-$metric manifolds is considered. It is shown that $\mathcal{D}-$homothetic deformation of these manifolds in the class $\mathcal{F}_{i}$ $\left( i=0,1,4,5\right) $ remains in the same the class $\mathcal{F}_{i}$. We study almost contact $B-$metric structure on $5-$dimensional nilpotent Lie algebras. The class of the left invariant almost contact $B-$metric structures on corresponding Lie groups is investigated. Finally, we determine the class of $5-$dimensional nilpotent Lie algebras with almost contact $B-$metric structure.

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Bu Makaleye Atıf Yap

Bulut, Ş., Ermiş, S. E. (2020). Almost Contact B-Metric Structure on 5-Dimensional Nilpotent Lie algebras. International Electronic Journal of Geometry, Volume: 13 Issue: 2. https://doi.org/10.36890/iejg.630746

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Kaynakça (9)

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  9. Özdemir, N., Solgun, M., Aktay, Ş.: Almost contact metric structures on 5-dimensional nilpotent Lie algebras. Symmetry. 76(8), (2016).