Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2016 / Cilt: 16 - Sayı: 2

On Almost ?-Kenmotsu Manifolds with Some Tensor Fields

Bazı Tensör Alanlarına Sahip Hemen Hemen ?-Kenmotsu Manifoldları Üzerine

Pages
256–264
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We study the geometry of almost ?-Kenmotsu manifolds when they are projectively, conformally (Weyl) and concircularly flat with ?-parallel tensor ?? and we give illustrating examples on almost ?- Kenmotsu manifolds with respect to ?.

📌 3 Key Takeaways

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Objective & Hypothesis:We study the geometry of almost ?-Kenmotsu manifolds when they are projectively, conformally (Weyl) and concircularly flat with ?-parallel tensor ?? and we give illustrating examples on almost ?- Kenmotsu manifolds with respect to ?.
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Key Findings & Data:We study the geometry of almost ?-Kenmotsu manifolds when they are projectively, conformally (Weyl) and concircularly flat with ?-parallel tensor ?? and we give illustrating examples on almost ?- Kenmotsu manifolds with respect to ?.
💡
Conclusion & Impact:We study the geometry of almost ?-Kenmotsu manifolds when they are projectively, conformally (Weyl) and concircularly flat with ?-parallel tensor ?? and we give illustrating examples on almost ?- Kenmotsu manifolds with respect to ?.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We study the geometry of almost ?-Kenmotsu manifolds when they are projectively, conformally (Weyl) and concircularly flat with ?-parallel tensor ?? and we give illustrating examples on almost ?- Kenmotsu manifolds with respect to ?.

Özet

Bu makalede ?? ?-paralel tensör alanlı hemen hemen ?-Kenmotsu manifoldların projektif, konformal ve konsirküler flat durumlarındaki geometrisi incelendi. Makalenin sonunda ?'ya bağlı olarak hemen hemen ?-Kenmotsu manifoldlar üzerinde örnekler inşa edildi.

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Cite This Article

ÖZTÜRK, H. (2022). On Almost ?-Kenmotsu Manifolds with Some Tensor Fields. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 16 - Sayı: 2, 256–264. https://ajindex.com/articles/430206

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References (14)

  1. Kim, T. W. and Pak, H. K., 2005. Canonical foliations of certain classes of almost contact metric structures. Acta Math. Sinica, Eng. Ser. Aug., 21(4), 841-846.
  2. Boeckx, E. and Cho, J. T., 2005. ?-parallel contact metric spaces. Differential Geometry and its Applications, 22, 275-285.
  3. Vaisman, I., 1980. Conformal changes of almost contact metric manifolds. Lecture Notes in Math., Berlin-Heidelberg-New York, 792, 435-443.
  4. Kenmotsu, K., 1972. A class of contact Riemannian manifold, Tôhoku Math. Journal, 24, 93-103.
  5. Blair, D. E., 2002. Riemannian geometry of contact and symplectic manifolds, Progress in Mathematics, Boston. Bagewadi, C. S. and Venkatesha, 2007. Some curvature tensors on a trans-Sasakian manifold, Turkish Journal of Math., 31, 111-121.
  6. Calvaruso, G. and Perrone, D., 2002. Semi- symmetric contact metric three-manifolds, Yokohama Math. Journal., 49, 149-161.
  7. Yano, K. and Kon, M., 1984.
  8. Structures on manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore. Aktan, N., Yıldırım M. and Murathan, C., 2014.
  9. Almost f-cosymplectic manifolds, Mediterranean Journal of Math., 11, 775-787.
  10. Öztürk, H., Aktan, N., Murathan, C. And Vanlı, A. T., 2014. Almost ?-Cosymplectic f-Manifolds, The Journal of Alexandru Ioan Cuza University, 60 (1), 211-226.
  11. Tanno, S., 1969. The automorphism groups of almost contact Riemannian manifolds, Tôhoku Math. Journal, 21, 21-38.
  12. Nomizu, K., 1968. On hypersurfaces satisfying a certain condition on the curvature tensor, Tôhoku Mat. Journal, 20, 46-69. Szabó, Z. I., 1982. Structure theorem on Riemannian spaces satisfying R.R=0, Journal of Differential Geometry, 17, 531-582.
  13. Ogawa, Y., 1977. A condition for a compact Kaehlerian space to be locally symmetric, Nat. Sci. Rep. Ochanomizu Univ., 28, 21-23.
  14. Dacko, P. and Olszak, Z., 1998. On conformally flat almost cosymplectic manifolds with Keahlerian leaves, Rend. Sem. Mat. Univ. Pol. Torino, 56(1), 89- 103. Olszak, Z., 1989. Locally conformal almost cosymplectic manifolds, Coll. Math. Journal, 57, 73- -87. Dileo, G. and Pastore, A. M., 2009. Almost Kenmotsu manifolds with a condition of ?- parallelism. Differential Geometry and İts Applications, 27, 671-679