Araştırma Makalesi
BibTex RIS Kaynak Göster

Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection

Yıl 2019, Cilt: 4 Sayı: 3, 131 - 140, 31.12.2019
https://doi.org/10.30931/jetas.643643
https://izlik.org/JA69KS43AY

Öz

In this work, we give some basic informations about Ricci solitons on a nearly Kenmotsu manifold and some structures on this manifolds satisfying semi-symmetric metric connection. And then we consider some important results and theorems of Ricci solitons on Ricci-recurrent and Φ-recurrent nearly Kenmotsu manifolds with semi-symmetric metric connection. Also final part of the present paper, we study Ricci solitons on quasi-projectively flat nearly Kenmotsu manifolds with semi-symmetric metric connection.

Kaynakça

  • Bejan, C.L., Crasmareanu, M., “Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry”, Ann. Glob. Anal. Geom. (2014), doi:10. 1007/s10455-014-9414-4. Hamilton, R.S., “Three manifolds with positive Ricci curvature”, Journal of Differential Geometry 17 (2) (1982) : 225-306.
  • Hamilton, R.S., “The Ricci flow on surfaces”, Contemporary Mathematics 71 (1988) : 237-261.
  • Hamilton, R.S., “The Ricci flow on surfaces. In: Mathematics and general relativity (Santa Cruz, CA, 1986)”, Contemp. Math. Amr. Math. Soc., Providence 71 (1988) : 237-262.
  • Nagaraja, H.G., Venu, K., “Ricci Solitons in Kenmotsu Manifold”, Journal of Informatics and Mathematical Sciences 8 (2016) : 29.
  • Oztürk, H., “On α−Kenmotsu manifolds satisfying semi-symmetric conditions”, Konuralp Journal of Mathematics 5 (2017) : 192-193.
  • Kenmotsu, K., “A class of contact Riemannian manifold”, Tohoko Math. J. 24 (1972) : 93-103.
  • Nomizu, K., “On hypersurfaces satisfying a certain condition on the curvature tensor”, Tohoko Mat. J. 20 (1968) : 46-69.
  • Blair, D.E., “Contact manifolds in Riemannian geometry”, Lecture Notes in Mathematics 509 (1976), Springer-Verlag, Berlin.
  • Shukla, A., “Nearly trans-Sasakian manifolds”, Kuwait J. Sci. Eng. 23 (2) (1996) : 139–144.
  • Küpeli Erken, I., Piotr D., Murathan, C., “On the existence of proper nearly Kenmotsu manifolds”, Mediterr. J. Math. 13 (2016) : 4497-4507.
  • Prasad, R., Kumar, S., Gautam, U.K., “On nearly Kenmotsu manifolds with semi-symmetric metric connection”, Ganita 68 (1) (2018) : 133.
  • De, U.C., “On ϕ−recurrent Kenmotsu manifolds”, Turk J. Math. 33 (2009) : 17-25.
  • Ayar, G., Yıldırım, M., “η-Ricci solitons on nearly Kenmotsu manifolds”, Asian-European Journal of Mathematics 12 (6) (2019) : 2040002.
  • Ayar, G., Yıldırım M., “Ricci solitons and gradient Ricci solitons on nearly Kenmotsu manifolds”, Facta Universitatis (NIS) Ser. Math. Inform. 34 (3) (2019) : 503-510.

Yıl 2019, Cilt: 4 Sayı: 3, 131 - 140, 31.12.2019
https://doi.org/10.30931/jetas.643643
https://izlik.org/JA69KS43AY

Öz

Kaynakça

  • Bejan, C.L., Crasmareanu, M., “Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry”, Ann. Glob. Anal. Geom. (2014), doi:10. 1007/s10455-014-9414-4. Hamilton, R.S., “Three manifolds with positive Ricci curvature”, Journal of Differential Geometry 17 (2) (1982) : 225-306.
  • Hamilton, R.S., “The Ricci flow on surfaces”, Contemporary Mathematics 71 (1988) : 237-261.
  • Hamilton, R.S., “The Ricci flow on surfaces. In: Mathematics and general relativity (Santa Cruz, CA, 1986)”, Contemp. Math. Amr. Math. Soc., Providence 71 (1988) : 237-262.
  • Nagaraja, H.G., Venu, K., “Ricci Solitons in Kenmotsu Manifold”, Journal of Informatics and Mathematical Sciences 8 (2016) : 29.
  • Oztürk, H., “On α−Kenmotsu manifolds satisfying semi-symmetric conditions”, Konuralp Journal of Mathematics 5 (2017) : 192-193.
  • Kenmotsu, K., “A class of contact Riemannian manifold”, Tohoko Math. J. 24 (1972) : 93-103.
  • Nomizu, K., “On hypersurfaces satisfying a certain condition on the curvature tensor”, Tohoko Mat. J. 20 (1968) : 46-69.
  • Blair, D.E., “Contact manifolds in Riemannian geometry”, Lecture Notes in Mathematics 509 (1976), Springer-Verlag, Berlin.
  • Shukla, A., “Nearly trans-Sasakian manifolds”, Kuwait J. Sci. Eng. 23 (2) (1996) : 139–144.
  • Küpeli Erken, I., Piotr D., Murathan, C., “On the existence of proper nearly Kenmotsu manifolds”, Mediterr. J. Math. 13 (2016) : 4497-4507.
  • Prasad, R., Kumar, S., Gautam, U.K., “On nearly Kenmotsu manifolds with semi-symmetric metric connection”, Ganita 68 (1) (2018) : 133.
  • De, U.C., “On ϕ−recurrent Kenmotsu manifolds”, Turk J. Math. 33 (2009) : 17-25.
  • Ayar, G., Yıldırım, M., “η-Ricci solitons on nearly Kenmotsu manifolds”, Asian-European Journal of Mathematics 12 (6) (2019) : 2040002.
  • Ayar, G., Yıldırım M., “Ricci solitons and gradient Ricci solitons on nearly Kenmotsu manifolds”, Facta Universitatis (NIS) Ser. Math. Inform. 34 (3) (2019) : 503-510.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Gülhan Ayar

Dilek Demirhan Bu kişi benim

Yayımlanma Tarihi 31 Aralık 2019
DOI https://doi.org/10.30931/jetas.643643
IZ https://izlik.org/JA69KS43AY
Yayımlandığı Sayı Yıl 2019 Cilt: 4 Sayı: 3

Kaynak Göster

APA Ayar, G., & Demirhan, D. (2019). Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. Journal of Engineering Technology and Applied Sciences, 4(3), 131-140. https://doi.org/10.30931/jetas.643643
AMA 1.Ayar G, Demirhan D. Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. Journal of Engineering Technology and Applied Sciences. 2019;4(3):131-140. doi:10.30931/jetas.643643
Chicago Ayar, Gülhan, ve Dilek Demirhan. 2019. “Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection”. Journal of Engineering Technology and Applied Sciences 4 (3): 131-40. https://doi.org/10.30931/jetas.643643.
EndNote Ayar G, Demirhan D (01 Aralık 2019) Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. Journal of Engineering Technology and Applied Sciences 4 3 131–140.
IEEE [1]G. Ayar ve D. Demirhan, “Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection”, Journal of Engineering Technology and Applied Sciences, c. 4, sy 3, ss. 131–140, Ara. 2019, doi: 10.30931/jetas.643643.
ISNAD Ayar, Gülhan - Demirhan, Dilek. “Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection”. Journal of Engineering Technology and Applied Sciences 4/3 (01 Aralık 2019): 131-140. https://doi.org/10.30931/jetas.643643.
JAMA 1.Ayar G, Demirhan D. Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. Journal of Engineering Technology and Applied Sciences. 2019;4:131–140.
MLA Ayar, Gülhan, ve Dilek Demirhan. “Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection”. Journal of Engineering Technology and Applied Sciences, c. 4, sy 3, Aralık 2019, ss. 131-40, doi:10.30931/jetas.643643.
Vancouver 1.Gülhan Ayar, Dilek Demirhan. Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. Journal of Engineering Technology and Applied Sciences. 01 Aralık 2019;4(3):131-40. doi:10.30931/jetas.643643