Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 70 Issue: 1

A classification of $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensor

Dibakar Dey(University of Calcutta)0000-0001-8992-6501
Pradip Majhi(University of Calcutta)0000-0002-4364-1815
Sayfa
—
Yayın Tarihi
2021-06-30
🏛️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)

Further, Cotton pseudo-symmetric $(k,\mu)'$-almost Kenmotsu manifolds are classified.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The object of the present paper is to classify $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensors.
📊
Temel Bulgular & Veri:Beside this, $(k,\mu)'$-almost Kenmotsu manifolds satisfying Cotton semisymmetry and $Q(g,C) = 0$ are studied.
💡
Sonuç & Katkı:Further, Cotton pseudo-symmetric $(k,\mu)'$-almost Kenmotsu manifolds are classified.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Almost Kenmotsu manifolds · $\xi$-Cotton flat · Cotton flat

Abstract

The object of the present paper is to classify $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensors. We characterize $(k,\mu)'$-almost Kenmotsu manifolds with vanishing and parallel Cotton tensors. Beside this, $(k,\mu)'$-almost Kenmotsu manifolds satisfying Cotton semisymmetry and $Q(g,C) = 0$ are studied. Further, Cotton pseudo-symmetric $(k,\mu)'$-almost Kenmotsu manifolds are classified.

🔖

Bu Makaleye Atıf Yap

Dey, D., Majhi, P. (2021). A classification of $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensor. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 1. https://doi.org/10.31801/cfsuasmas.699780

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (23)

  1. Arslan, K., Murathan, C., Özgür, C., Yildiz, A., Pseudosymmetric contact metric manifolds in the sense of M. C. Chaki, Proc. Estonian Acad. Sci. Phys. Math., 50 (2001), 124-132.
  2. Blair, D. E., Contact Manifold in Riemannian Geometry, Lecture Notes on Mathematics, Springer, Berlin, 509, 1976.
  3. Blair, D. E., Riemannian Geometry on contact and symplectic manifolds, Progr. Math., Birkhäuser, Boston, 203, 2010.
  4. De, U. C., Mandal, K., On a type of almost Kenmotsu manifolds with nullity distributions, Arab J. Math. Sci., 23 (2017), 109-123.
  5. Dey, D. Majhi, P., On the quasi-conformal curvature tensor of an almost Kenmotsu manifold with nullity distributions, Facta Univ. Ser. Math. Inform., 33 (2018), 255-268.
  6. Dileo, G., Pastore, A.M., Almost Kenmotsu manifolds and nullity distributions, J. Geom., 93 (2009), 46-61.
  7. Dileo, G., Pastore, A.M.,, Almost Kenmotsu manifolds with a condition of η-parallelsim, Differential Geom. Appl., 27 (2009), 671-679.
  8. Dileo, G., Pastore, A.M.,, Almost Kenmotsu manifolds and local symmetry, Bull. Belg. Math. Soc. Simon Stevin, 14 (2007), 343-354.
  9. Ghosh, A., Sharma, R., Sasakian manifolds with purely transversal Bach tensor, J. Math. Phys., 58, (2017), 103502.
  10. Gray, A., Einstein-like manifolds which are not Einstein, Geom. Dedicta, 7 (1978), 259-280.
  11. Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Math. J., 24 (1972), 93-103.
  12. Özgür, C., On weakly symmetric Kenmotsu manifolds, Diff. Geom. Dyn. Syst., 8 (2016), 204-209.
  13. Özen, F., Altay, S., On weakly and pseudo-symmetric Riemannian spaces, Indian J. Pure Appl. Math., 33 (2002), 1477-1488.
  14. Pastore, A.M., Saltarelli, V., Generalized nullity distribution on almost Kenmotsu manifolds, Int. Elec. J. Geom. 4 (2011), 168-183.
  15. Pérez, J.D., Lee, H., Suh, Y.J., Woo, C., Real hypersurfaces in complex two-plane Grassmannians with Reeb parallel Ricci tensor in the GTW connection, Canad. Math. Bull., (2016), 721-733.
  16. Sahin, B., Yildiz, A., Chaki type pseudo-symmetric lightlike hypersurfaces, Int. J. Geom. Methods Mod. Phys., 12 (2015), 1550051, 19 pp.
  17. Verstraelen, L., Comments on pseudosymmetry in the sense of Ryszard Deszcz, Geometry and topology of submanifolds, VI. River Edge, NJ: World Sci. Publishing, (1994), 199-209.
  18. Wang, Y., Liu, X., On φ-recurrent almost Kenmotsu manifolds, Kuwait J. Sci., 42 (2015), 65-77.
  19. Wang, Y., Liu, X., On a type of almost Kenmotsu manifolds with harmonic curvature tensors, Bull. Belg. Math. Soc. Simon Stevin, 22 (2015), 15-24.
  20. Wang, Y., Cotton tensor on almost cokähler 3-manifolds, Ann. Polon. Math., 120(2) (2017).
  21. Zhen, G., Cabrerizo, J. L., Fernández, L.M., Fernández, M., On ξ-conformally flat contact metric manifolds, Indian J. Pure Appl. Math., 28 (1997), 725-734.
  22. Dileo, G., Pastore, A.M.,, Almost Kenmotsu manifolds with a condition of η-parallelsim, Differential Geom. Appl., 27 (2009), 671-679.
  23. Dileo, G., Pastore, A.M.,, Almost Kenmotsu manifolds and local symmetry, Bull. Belg. Math. Soc. Simon Stevin, 14 (2007), 343-354.