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Journals / Journal of Engineering Technology and Applied Sciences / 2020 / Cilt: 5 Sayı: 3

Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds

İnan Ünal(MUNZUR UNIVERSITY)0000-0003-1318-9685
Pages
103–110
Publication Date
2020-12-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we investigate the geometry of distributions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study a special submanifold of a generalized Kenmotsu manifold.
📊
Key Findings & Data:Firstly, we define a skew semi-invariant submanifold of a generalized Kenmotsu manifold and give an example.
💡
Conclusion & Impact:Finally, we investigate the geometry of distributions.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:semi-invariant submanifold · Skew semi-invariant submanifold · generalized Kenmotsu manifold

Abstract

In this paper, we study a special submanifold of a generalized Kenmotsu manifold. Firstly, we define a skew semi-invariant submanifold of a generalized Kenmotsu manifold and give an example. Later, we obtain some basic results for such submanifolds. Finally, we investigate the geometry of distributions.

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Cite This Article

Ünal, İ. (2020). Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds. Journal of Engineering Technology and Applied Sciences, Cilt: 5 Sayı: 3, 103–110. https://doi.org/10.30931/jetas.836111

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References (31)

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  4. Turgut Vanli, A., Sari, R., “Generalized Kenmotsu manifolds”, Communications in Mathematics and Applications, 7 4) (2016): 311-328.
  5. Turgut Vanli, A., Sari, R., “On semi-invariant submanifolds of a Generalized Kenmotsu manifold admitting a semi-symmetric non-metric connection”, Pure and Applied Mathematics Journal, 4(1-2) (2015): 14-18.
  6. Turgut Vanli, A., Sari, R., “On semi-invariant submanifolds of a generalized Kenmotsu manifold admitting a semi-symmetric metric connection”, Acta Universitatis Apulensis, 43 (2015): 79-92.
  7. Ünal, İ., Sarı, R., Turgut Vanlı, A., “Concircular curvature tensor on generalized Kenmotsu manifolds”, Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, CMES 2018 Ek Sayısı, (2018): 99-105.
  8. Bagewadi, C. S., Venkatesha, S., “A study of distributions and ℳ of generalized Kenmotsu manifold”, Asian Research Journal of Mathematics, 8(4) (2018): 1-10.
  9. Bejancu, A., “CR-submanifolds of a Kaehler manifold I”, Proc. Am. Math. Soc., 69 (1978): 135-142.
  10. Bejancu, A., Papaghiuc, N., “Almost semi invariant submanifolds of a Sasakian manifold”, Bull. Math. Soc. Sci., 28 (1984): 13-30.
  11. Ronsse, G. S., “Generic and skew CR-submanifolds of a Kaehler manifold”, Bull. Inst.Math. Acad. Sinica, 18 (1990): 127-141.
  12. Siddiqi, M. D., Haseeb, A., Ahmad, M., “Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds”, Carpathian Mathematical Publications, 9(2), (2017): 188-197.
  13. Siddiqi, M. D., “On skew semi-invariant submanifolds of cosymplectic manifolds”, Asian Research Journal of Mathematics, (2018): 1-11.
  14. Uddin, S., Kon, S. H., Khan, M. A., Singh, K., “Warped product semi-invariant submanifolds of nearly cosymplectic manifolds”, Mathematical Problems in Engineering, vol. 2011 Article ID 230374 (2011): 12 pages.
  15. Sarı, R, Ünal, İ., Aksoy Sarı, E., “Skew semi invariant submanifolds of Para Kenmotsu manifold”, Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, CMES 2018 Ek Sayısı, (2018): 112-118.
  16. Goldberg, S. I., Yano, K., “Globally framed f-manifolds”, III. J. MAth.15 (1971): 456-474.
  17. Kenmotsu, K., “A class of almost contact Riemannian manifolds”, Tohoku Math. J. II Ser., 24 (1972): 93-103.
  18. Falcitelli, M., Pastore, A. M., “f-structures of Kenmotsu type”, Mediterr J. Math., 3(3-4) (2006): 549-564.
  19. Turgut Vanli, A., Sari, R., “Generalized Kenmotsu manifolds”, Communications in Mathematics and Applications, 7 4) (2016): 311-328.
  20. Turgut Vanli, A., Sari, R., “On semi-invariant submanifolds of a Generalized Kenmotsu manifold admitting a semi-symmetric non-metric connection”, Pure and Applied Mathematics Journal, 4(1-2) (2015): 14-18.
  21. Turgut Vanli, A., Sari, R., “On semi-invariant submanifolds of a generalized Kenmotsu manifold admitting a semi-symmetric metric connection”, Acta Universitatis Apulensis, 43 (2015): 79-92.
  22. Ünal, İ., Sarı, R., Turgut Vanlı, A., “Concircular curvature tensor on generalized Kenmotsu manifolds”, Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, CMES 2018 Ek Sayısı, (2018): 99-105.
  23. Bagewadi, C. S., Venkatesha, S., “A study of distributions and ℳ of generalized Kenmotsu manifold”, Asian Research Journal of Mathematics, 8(4) (2018): 1-10.
  24. Bejancu, A., “CR-submanifolds of a Kaehler manifold I”, Proc. Am. Math. Soc., 69 (1978): 135-142.
  25. Bejancu, A., Papaghiuc, N., “Almost semi invariant submanifolds of a Sasakian manifold”, Bull. Math. Soc. Sci., 28 (1984): 13-30.
  26. Ronsse, G. S., “Generic and skew CR-submanifolds of a Kaehler manifold”, Bull. Inst.Math. Acad. Sinica, 18 (1990): 127-141.
  27. Siddiqi, M. D., Haseeb, A., Ahmad, M., “Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds”, Carpathian Mathematical Publications, 9(2), (2017): 188-197.
  28. Siddiqi, M. D., “On skew semi-invariant submanifolds of cosymplectic manifolds”, Asian Research Journal of Mathematics, (2018): 1-11.
  29. Uddin, S., Kon, S. H., Khan, M. A., Singh, K., “Warped product semi-invariant submanifolds of nearly cosymplectic manifolds”, Mathematical Problems in Engineering, vol. 2011 Article ID 230374 (2011): 12 pages.
  30. Sarı, R, Ünal, İ., Aksoy Sarı, E., “Skew semi invariant submanifolds of Para Kenmotsu manifold”, Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, CMES 2018 Ek Sayısı, (2018): 112-118.
  31. Goldberg, S. I., Yano, K., “Globally framed f-manifolds”, III. J. MAth.15 (1971): 456-474.