Dergiler / Konuralp Journal of Mathematics / 2026 / Volume: 12 Issue: 1

Almost Hermitian Structures From Almost Contact Metric Manifolds and Their Curvature Properties

Nilüfer Özdemir(ESKİŞEHİR TEKNİK ÜNİVERSİTESİ)0000-0003-0507-2444
Şirin Aktay(ESKİŞEHİR TEKNİK ÜNİVERSİTESİ)0000-0003-2792-3481
Mehmet Solgun(Bilecik Şeyh Edebali University)0000-0002-2275-7763
Sayfa
—
Yayın Tarihi
2024-04-30
DOI
—
🏛️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)

In addition, we study the relationships between some classes of almost contact metric manifolds and almost Hermitian manifolds.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this manuscript, we consider almost Hermitian manifolds and almost contact metric manifolds.
📊
Temel Bulgular & Veri:We construct almost Hermitian manifolds from the product of almost contact metric manifolds with $\mathbb{R}$ by warped product.
💡
Sonuç & Katkı:In addition, we study the relationships between some classes of almost contact metric manifolds and almost Hermitian manifolds.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:almost contact metric structure · almost Hermitian structure · curvature

Abstract

In this manuscript, we consider almost Hermitian manifolds and almost contact metric manifolds. We construct almost Hermitian manifolds from the product of almost contact metric manifolds with $\mathbb{R}$ by warped product. Depending on the function of warped product, we investigate the curvature properties of the almost Hermitian manifolds obtained in this way. In particular, we study Einstein almost Hermitian manifolds obtained from Einstein almost contact metric manifolds. In addition, we study the relationships between some classes of almost contact metric manifolds and almost Hermitian manifolds.

🔖

Bu Makaleye Atıf Yap

Özdemir, N., Aktay, Ş., Solgun, M. (2024). Almost Hermitian Structures From Almost Contact Metric Manifolds and Their Curvature Properties. Konuralp Journal of Mathematics, Volume: 12 Issue: 1. https://ajindex.com/articles/1521498

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (21)

  1. Agricola, I., Friedrich, T. 3-Sasakian Manifolds in Dimension Seven, Their Spinors and G2-Structures, J. Geom. Phys. 60 (2), 326-332 (2010). https://doi.org/10.1016/j.geomphys.2009.10.003
  2. Alexiev, V., Ganchev, G. On the Classification of Almost Contact Metric Manifolds. In: Mathematics and Education in Mathematics, Proceedings of 15th Spring Conference, Sunny Beach, pp. 155–161 (1986)
  3. Attarchi, H. Warped Product Conformal Kaehler Manifolds and Kenmotsu Structures. arXiv:1206.2766v3[math.DG] 11 Sep 2021.
  4. Blair, D.E. D-Homothetic Warping. Publ. Inst. Math. 94 (108), 47-54 (2013).
  5. Bouzir, H., Beldjilali, G. Kaehlerian Structure on the Product of Two Trans-Sasakian Manifolds. Int. Electron. J. Geom. 13 (2), 135-143 (2020).
  6. Beldjilali, G., Belkhelfa, M. Kaehlerian Structures and D-Homothetic Bi-Warping. J. Geom. Symmetry Phys. 42, 1-13 (2016).
  7. Beldjilali, G., Cherif, A. M. and Zegga, K. From a Single Sasakian Manifold to a Family of Sasakian Manifolds. Beitr. Algebra Geom. 60, 445-458 (2019).
  8. Chinea, D., Gonzalez, C. A Classification of Almost Contact Metric Manifolds. Ann. di Mat. Pura ed Appl. 156, 15–36 (1990). https://doi.org/10.1007/BF01766972
  9. Chojnacka-Dulas, J., Deszcz, R., Glokowska, M. and Prvanovic, M. On Warped Product Manifolds Satisfying Some Curvature Conditions. J. Geom. Phys. 74, 328-341 (2013).
  10. Ganchev, G., Mihova, V. Warped Product Kaehler Manifolds and Bochner-Kaehler metrics. J. Geom. Phys. 58, 803-824 (2008).
  11. Gray, A., Hervella G.M. The Sixteen Classes of Almost Hermitian Manifolds and Their Linear Invariants. Annal. di Mat. Pura et Applicata. 123 (4), 35-38 (1980).
  12. Kashiwada, T. A Note on a Riemannian Space with Sasakian 3-Structure. Nat. Sci. Reps. Ochanomizu Univ. 22, 1-2 (1971).
  13. Oubina J.A. A Classification for Almost Contact Metric Structures, Preprint, 1980.
  14. Özdemir, N., Aktay, S¸., Solgun, M. Almost Hermitian Structures on the Products of Two Almost Contact Metric Manifolds. Differ Geom Dyn Syst. 18, 102-109 (2016).
  15. Özdemir, N., Erdogan, N. Some Relations Between Almost Paracontact Metric Manifolds and Almost Parahermitian Manifolds. Turk. J. Math. 46 (4), 1459-1477, (2022).
  16. Sasaki S., Hatakeyama Y. On Differentiable Manifolds with Certain Structures Which Are Closely Related to Almost Contact Structure II. Tohoku Math. J. 13, 281-294 (1961).
  17. Solgun, M, Karababa, Y. A Natural Way to Construct an Almost Complex B-metric Structure. Math. Meth. Appl. Sci. 44, 7607– 7613 (2021).
  18. https://doi.org/10.1002/mma.6430 [18] Tashiro, Y. On Contact Structures of Hypersurfaces in Complex Manifolds I. Tohoku Math. J. 15, 62-78 (1963).
  19. Watanabe, Y. Almost Hermitian and Kaehler Structures on Product Manifolds. Proceedings of the 13th International Workshop on Diff. Geom. 13, 1-16 (2009).
  20. Cabrera, F. M. On the classification of almost contact metric manifolds. Differential Geometry and its Applications 64, 13–28 (2019).
  21. Özdemir, N., Aktay, S¸., Solgun, M. Almost Hermitian Structures on the Products of Two Almost Contact Metric Manifolds. Differ Geom Dyn Syst. 18, 102-109 (2016).