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Dergiler / International Electronic Journal of Geometry / 2020 / Cilt: 13 - Sayı: 2

Almost Contact B−metric Structure on 5−Dimensional Nilpotent Lie Algebras

Şenay BULUT
Sevgi ENVEŞ ERMİŞ
Sayfa
87–97
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we determine the class of 5−dimensional nilpotent Lie algebras with almostcontact 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 thatD−homothetic deformation of these manifolds in the class Fi (i = 0, 1, 4, 5) remains in the samethe class Fi.
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Sonuç & Katkı:Finally, we determine the class of 5−dimensional nilpotent Lie algebras with almostcontact B−metric structure.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The classification of almost contact B−metric manifolds is considered. It is shown thatD−homothetic deformation of these manifolds in the class Fi (i = 0, 1, 4, 5) remains in the samethe class Fi. 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 isinvestigated. Finally, we determine the class of 5−dimensional nilpotent Lie algebras with almostcontact B−metric structure.

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Bu Makaleye Atıf Yap

BULUT, Ş., ERMİŞ, S. E. (2022). Almost Contact B−metric Structure on 5−Dimensional Nilpotent Lie Algebras. International Electronic Journal of Geometry, Cilt: 13 - Sayı: 2, 87–97. https://ajindex.com/articles/539602

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Kaynakça (9)

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