Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds

Öz

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.

Anahtar Kelimeler

• semi-invariant submanifold
• Skew semi-invariant submanifold
• generalized Kenmotsu manifold

Kaynakça

1. [1] Kenmotsu, K., “A class of almost contact Riemannian manifolds”, Tohoku Math. J. II Ser., 24 (1972) : 93-103.
2. [2] Pitiş G., “Geometry of Kenmotsu manifolds”, Publishing House of Transilvania University of Braşov, Braşov (2007).
3. [3] Falcitelli, M., Pastore, A. M., “f-structures of Kenmotsu type”, Mediterr J. Math., 3(3-4) (2006) : 549-564.
4. [4] Turgut Vanli, A., Sari, R., “Generalized Kenmotsu manifolds”, Communications in Mathematics and Applications, 7 4) (2016) : 311-328.
5. [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. [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. [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. [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. [9] Bejancu, A., “CR-submanifolds of a Kaehler manifold I”, Proc. Am. Math. Soc., 69 (1978) : 135-142.
10. [10] Bejancu, A., Papaghiuc, N., “Almost semi invariant submanifolds of a Sasakian manifold”, Bull. Math. Soc. Sci., 28 (1984) : 13-30.
11. [11] Ronsse, G. S., “Generic and skew CR-submanifolds of a Kaehler manifold”, Bull. Inst.Math. Acad. Sinica, 18 (1990) : 127-141.
12. [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. [13] Siddiqi, M. D., “On skew semi-invariant submanifolds of cosymplectic manifolds”, Asian Research Journal of Mathematics, (2018) : 1-11.
14. [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. [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. [16] Goldberg, S. I., Yano, K., “Globally framed f-manifolds”, III. J. MAth.15 (1971) : 456-474.