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Journals / International Electronic Journal of Geometry / 2016 / Cilt: 9 - Sayı: 2

On ?-Ricci Recurrent Almost Kenmotsu Manifolds with Nullity Distributions

U.C. De DE
Krishanu MANDAL
Pages
70–79
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, we give an example of aKenmotsu manifold such that?belongs to the(k, µ)0-nullity distribution andh06= 0.-dimensional almost.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this paper is to investigate?-Ricci recurrent and?-Ricci symmetric almostKenmotsu manifolds with its characteristic vector field?belonging to some nullity distributions.Also we obtain several corollaries.
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Key Findings & Data:The purpose of this paper is to investigate?-Ricci recurrent and?-Ricci symmetric almostKenmotsu manifolds with its characteristic vector field?belonging to some nullity distributions.Also we obtain several corollaries.
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Conclusion & Impact:Finally, we give an example of aKenmotsu manifold such that?belongs to the(k, µ)0-nullity distribution andh06= 0.-dimensional almost.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The purpose of this paper is to investigate?-Ricci recurrent and?-Ricci symmetric almostKenmotsu manifolds with its characteristic vector field?belonging to some nullity distributions.Also we obtain several corollaries. Finally, we give an example of aKenmotsu manifold such that?belongs to the(k, µ)0-nullity distribution andh06= 0.-dimensional almost.

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Cite This Article

DE, U. D., MANDAL, K. (2022). On ?-Ricci Recurrent Almost Kenmotsu Manifolds with Nullity Distributions. International Electronic Journal of Geometry, Cilt: 9 - Sayı: 2, 70–79. https://ajindex.com/articles/539696

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References (19)

  1. Blair, D.E., Contact manifold in Riemannian geometry. Lecture Notes on Mathematics. Springer, Berlin, 509, 1976.
  2. Blair, D.E., Riemannian geometry on contact and symplectic manifolds. Progr. Math. 203, Birkhäuser, 2010.
  3. Blair, D.E., Koufogiorgos, T. and Papantoniou, B.J., Contact metric manifolds satisfying a nullity condition. Israel J. Math. 91 (1995), 189-214.
  4. De, U.C., On ?-symmetric Kenmotsu manifolds. Int. Electron. J. Geom. 1 (2008), 33-38.
  5. De, U.C., Sarkar, A., On ?-Ricci symmetric Sasakian manifolds. Proc. of the Jangjeon Math. Soc. 11 (2008), 47-52.
  6. De, U.C., Shaikh, A.A. and Biswas, S., On ?-recurrent Sasakian manifolds. Novi Sad J. Math. 33 (2003), 43-48.
  7. De, U.C., Yildiz, A. and Yaliniz, A.F., On ?-recurrent Kenmotsu manifolds. Turkish J. Math. 33 (2009), 17-25.
  8. De, U.C., Yildiz, A. and Yaliniz, A.F., Locally ?-symmetric normal almost contact metric manifolds of dimension 3. Applied Math. Letters. (2009), 723-727.
  9. Dileo, G. and Pastore, A.M., Almost Kenmotsu manifolds and local symmetry. Bull. Belg. Math. Soc. Simon Stevin. 14 (2007), 343-354.
  10. Dileo, G. and Pastore, A.M., Almost Kenmotsu manifolds and nullity distributions. J. Geom. 93 (2009), 46-61.
  11. Dileo, G. and Pastore, A.M., Almost Kenmotsu manifolds with a condition of ?-parallelism. Differential Geom. Appl. 27 (2009), 671-679.
  12. Gray, A., Spaces of constancy of curvature operators. Proc. Amer. Math. Soc. 17 (1966), 897-902.
  13. Kenmotsu, K., A class of almost contact Riemannian manifolds. Tohoku Math. J. 24 (1972), 93-103.
  14. Pastore, A.M. and Saltarelli, V., Generalized nullity distributions on almost Kenmotsu manifolds. Int. Electron. J. Geom. 4 (2011), 168-183.
  15. Takahashi, T., Sasakian ?-symmetic spaces. Tohoku Math. J. 29 (1977), 91-113.
  16. Tanno, S., Some differential equations on Riemannian manifolds. J. Math. Soc. Japan. 30 (1978), 509-531.
  17. Wang, Y. and Liu, X., Second order parallel tensors on almost Kenmotsu manifolds satisfying the nullity distributions. Filomat. 28 (2014), 847. Wang, Y. and Liu, X., Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions. Ann. Polon. Math. 112 (2014), 46. Wang, Y. and Liu, X., On ?-recurrent almost Kenmotsu manifolds. Kuwait J. Sci. 42 (2015), 65-77.
  18. Wang, Y. and Liu, X., On a type of almost Kenmotsu manifolds with harmonic curvature tensors. Bull. Belg. Math. Soc. Simon Stevin. 22 (2015), 15-24.
  19. Wang, Y. and Liu, X., On almost Kenmotsu manifolds satisfying some nullity distributions. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (2