SavedAdd your journal

Journals / 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
Pages
87–97
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we determine the class of 5−dimensional nilpotent Lie algebras with almostcontact B−metric structure.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The classification of almost contact B−metric manifolds is considered.
📊
Key Findings & Data:It is shown thatD−homothetic deformation of these manifolds in the class Fi (i = 0, 1, 4, 5) remains in the samethe class Fi.
💡
Conclusion & Impact:Finally, we determine the class of 5−dimensional nilpotent Lie algebras with almostcontact B−metric structure.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

🔖

Cite This Article

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

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (9)

  1. Bulut, ¸S.: D−homothetic deformation on almost contact B-metric manifolds. J. of Geo. 110(23), (2019)
  2. Chinea, D., Gonzalez, C.: A classification of almost contact metric manifolds. An.Sti.Univ."Al.I.Cuza"Iasi. 30, 75-79 (1984)
  3. Dixmier, J.: Sur les representations unitaires des groupes de Lie nilpotentes III. Canadian Journal of Mathematics. 10, 321-348 (1958)
  4. Ganchev, G., Borisov, A.: Note on almost contact manifolds with Norden metric. Compt. Rend. Acad. Bulg. Sci. 39, 31-34 (1986)
  5. Ganchev, G., Mihova, V., Gribachev, K.: Almost contact manifolds with B−metric. Mathematica Balkanica. 7, 261-276 (1993)
  6. Manev, M.: Curvature properties on some classes of almost contact manifolds with B−metric. Compt. Rend. Acad. Bulg. Sci. 65 (4), 283-290 (2012)
  7. Manev, H.: On the structure tensors of almost of contact B−metric Manifolds. Filomat. 29(3), 427-436 (2015)
  8. Morimoto, A.: On normal almost contact structures. J. Math. Soc. Japan. 15, 420-436 (1963)
  9. Özdemir, N., Solgun, M., Aktay, ¸S.: Almost contact metric structures on 5-dimensional nilpotent Lie algebras. Symmetry. 76(8), (2016).