SavedAdd your journal

Journals / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 5 Issue: 1

D-Homothetic Deformations and Almost Paracontact Metric Manifolds

Şirin Aktay(Eskişehir Teknik Üniversitesi)0000-0003-2792-3481
Pages
—
Publication Date
2024-01-31
🏛️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)

In addition, we give examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we determine some of the classes of almost paracontact metric structures which are invariant under D-homothetic deformations.
📊
Key Findings & Data:We write the Riemannian curvature tensor, the Ricci tensor and the scalar curvature when the characteristic vector field is Killing.
💡
Conclusion & Impact:In addition, we give examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Almost paracontact metric structure · D-homothetic deformation · Killing vector field

Abstract

In this study, we determine some of the classes of almost paracontact metric structures which are invariant under D-homothetic deformations. We write the Riemannian curvature tensor, the Ricci tensor and the scalar curvature when the characteristic vector field is Killing. In addition, we give examples.

🔖

Cite This Article

Aktay, Ş. (2024). D-Homothetic Deformations and Almost Paracontact Metric Manifolds. Fundamentals of Contemporary Mathematical Sciences, Volume: 5 Issue: 1. https://doi.org/10.54974/fcmathsci.1240849

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. Blair D.E., D-homothetic warping, Publications de l’Institut Mathematique, 94(108), 47-54, 2013.
  2. Bulut Ş., D-homothetic deformation on almost contact B-metric manifolds, Journal of Geometry, 110(2), 1-12, 2019.
  3. De U.C., Ghosh S., D-homothetic deformation of normal almost contact metric manifolds, Ukrains’kyi Matematychnyi Zhurnal, 64(10), 1330-1329, 2012.
  4. Dixmier J., Sur les repr ´esentations unitaires des groupes de Lie nilpotentes III, Canadian Journal of Mathematics, 10, 321-348, 1958.
  5. Kaneyuki S., Williams F.L., Almost paracontact and parahodge structures on manifolds, Nagoya Mathematical Journal, 99, 173-187, 1985.
  6. Kocabaş Ü., Aktay Ş., Examples of almost para-contact metric structures on 5-dimensions, Fundamental Journal of Mathematics and Applications, 5(2), 89-97, 2022.
  7. Nakova G., Zamkovoy S., Almost paracontact manifolds, arXiv:0806.3859v2 [math.DG], 2009.
  8. Özdemir N., Solgun M., Aktay Ş., Almost paracontact metric structures on 5-dimensional nilpotent Lie algebras, Fundamental Journal of Mathematics and Applications, 3(2), 175-184, 2020.
  9. Özdemir N., Aktay Ş., Solgun M., Almost paracontact structures obtained from G∗2(2) structures, Turkish Journal of Mathematics, 42, 3025-3022, 2018.
  10. Solgun, M., Some results on D-homothetic deformation on almost paracontact metric manifolds, Fundamental Journal of Mathematics and Applications, 4(4), 264-270, 2021.
  11. Zamkovoy S., Canonical connections on paracontact manifolds, Annals of Global Analysis and Geometry, 36(37), 2009.
  12. Zamkovoy S., On para-Kenmotsu manifolds, Filomat, 32(14), 4971-4980, 2018.
  13. Zamkovoy S., Nakova G., The decomposition of almost paracontact metric manifolds in eleven classes revisited, Journal of Geometry, 109(1), 1-23, 2018.