Research Article
BibTex RIS Cite

Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds

Year 2020, Volume: 5 Issue: 3, 103 - 110, 31.12.2020
https://doi.org/10.30931/jetas.836111

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.

References

  • [1] Kenmotsu, K., “A class of almost contact Riemannian manifolds”, Tohoku Math. J. II Ser., 24 (1972) : 93-103.
  • [2] Pitiş G., “Geometry of Kenmotsu manifolds”, Publishing House of Transilvania University of Braşov, Braşov (2007).
  • [3] Falcitelli, M., Pastore, A. M., “f-structures of Kenmotsu type”, Mediterr J. Math., 3(3-4) (2006) : 549-564.
  • [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.
Year 2020, Volume: 5 Issue: 3, 103 - 110, 31.12.2020
https://doi.org/10.30931/jetas.836111

Abstract

References

  • [1] Kenmotsu, K., “A class of almost contact Riemannian manifolds”, Tohoku Math. J. II Ser., 24 (1972) : 93-103.
  • [2] Pitiş G., “Geometry of Kenmotsu manifolds”, Publishing House of Transilvania University of Braşov, Braşov (2007).
  • [3] Falcitelli, M., Pastore, A. M., “f-structures of Kenmotsu type”, Mediterr J. Math., 3(3-4) (2006) : 549-564.
  • [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.
There are 16 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

İnan Ünal 0000-0003-1318-9685

Publication Date December 31, 2020
Published in Issue Year 2020 Volume: 5 Issue: 3

Cite

APA Ünal, İ. (2020). Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds. Journal of Engineering Technology and Applied Sciences, 5(3), 103-110. https://doi.org/10.30931/jetas.836111
AMA Ünal İ. Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds. JETAS. December 2020;5(3):103-110. doi:10.30931/jetas.836111
Chicago Ünal, İnan. “Skew Semi-Invariant Submanifolds of Generalized Kenmotsu Manifolds”. Journal of Engineering Technology and Applied Sciences 5, no. 3 (December 2020): 103-10. https://doi.org/10.30931/jetas.836111.
EndNote Ünal İ (December 1, 2020) Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds. Journal of Engineering Technology and Applied Sciences 5 3 103–110.
IEEE İ. Ünal, “Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds”, JETAS, vol. 5, no. 3, pp. 103–110, 2020, doi: 10.30931/jetas.836111.
ISNAD Ünal, İnan. “Skew Semi-Invariant Submanifolds of Generalized Kenmotsu Manifolds”. Journal of Engineering Technology and Applied Sciences 5/3 (December 2020), 103-110. https://doi.org/10.30931/jetas.836111.
JAMA Ünal İ. Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds. JETAS. 2020;5:103–110.
MLA Ünal, İnan. “Skew Semi-Invariant Submanifolds of Generalized Kenmotsu Manifolds”. Journal of Engineering Technology and Applied Sciences, vol. 5, no. 3, 2020, pp. 103-10, doi:10.30931/jetas.836111.
Vancouver Ünal İ. Skew Semi-invariant Submanifolds of Generalized Kenmotsu Manifolds. JETAS. 2020;5(3):103-10.