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Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold

30 Kasım 2018
Ramazan Sarı *, İnan Ünal , Elif Aksoy Sarı
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Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold

Öz

In this paper skew semi invariant submanifolds of para Kenmotsu manifold are studied. An example is given and integrability conditions of distributions are obtained. This kind of submanifolds of para Kenmotsu space form are examined and some curvature properties are obtained. Finally it is proved that a totally geodesic skew semi invariant submanifold of para Kenmotsu manifold is  -Einstein.

Anahtar Kelimeler

Para Kenmotsu manifold,Para Kenmotsu space form,Skew semi invariant submanifolds

Kaynakça

  1. Adati, T. and Miyazawa, T., 1997. On para contact Riemanniann manifolds, TRU Mathematics, 13, 27-39.
  2. Bejancu, A. and Papaghiuc, N., 1984. Almost Semi Invariant Submanifolds of a Sasakian Manifold, Bull. Math. Soc. Sci., 28, 13-30.
  3. Cruceanu, V., Fortuny, P., & Gadea, P. M. (1996). A survey on paracomplex geometry. Rocky Mountain journal of mathematics, 26(1), 83-115.
  4. Dirik, S., Atçeken, M., and Yıldırım, Ü., 2016. Contact Pseudo Slant Submanifolds of a Kenmotsu Manifold, J. Mat. Computer Sci., 16, 386-394.
  5. Dirik, S., Atçeken, M., and Yıldırım, Ü., 2016. Pseudo Slant Submanifolds of Kenmotsu Space Form, Journal of Advences in Mathematics, 11(10), 5680-5696.
  6. Ianus, S., Mihai, I. and Matsumoto, K., 1985. Almost Semi Invariant Submanifolds of some almost para contact Riamannian Manifolds, Bull. Yamagata Univ. Natur. Sci., 11, 121-128.
  7. Kaneyuki, S. and Willams, F.L., 1985. Almost paracontact and parahodge structures on manifolds, Nagoya Mathematical Journal, 99, 173-187.
  8. Lui, X. and Shao, F.M., 1999. Skew Semi Invariant Submanifolds of a Locally Product Manifold, Portugaline Math., 56, 319-327.
  9. Olszak, Z., 2013. The Schouten-Van Kampen Affine Connection Adapted to an Almost Para Contact Metric Structure, Pub. de Linst. Math., 94, 31-42.
  10. Ronsse, G.S., 1990. Generic and Skew CR-Submanifolds of a Kaehler Manifold, Bull. Inst. Math. Acad. Sinica, 18, 127-141.

Kaynak Göster

APA
Sarı, R., Ünal, İ., & Aksoy Sarı, E. (2018). Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 112-118. https://doi.org/10.17714/gumusfenbil.456858
AMA
1.Sarı R, Ünal İ, Aksoy Sarı E. Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. Published online 01 Kasım 2018:112-118. doi:10.17714/gumusfenbil.456858
Chicago
Sarı, Ramazan, İnan Ünal, ve Elif Aksoy Sarı. 2018. “Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold”. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, Kasım 1, 112-18. https://doi.org/10.17714/gumusfenbil.456858.
EndNote
Sarı R, Ünal İ, Aksoy Sarı E (01 Kasım 2018) Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 112–118.
IEEE
[1]R. Sarı, İ. Ünal, ve E. Aksoy Sarı, “Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold”, Gümüşhane Üniversitesi Fen Bilimleri Dergisi, ss. 112–118, Kas. 2018, doi: 10.17714/gumusfenbil.456858.
ISNAD
Sarı, Ramazan - Ünal, İnan - Aksoy Sarı, Elif. “Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold”. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 01 Kasım 2018. 112-118. https://doi.org/10.17714/gumusfenbil.456858.
JAMA
1.Sarı R, Ünal İ, Aksoy Sarı E. Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2018;:112–118.
MLA
Sarı, Ramazan, vd. “Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold”. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, Kasım 2018, ss. 112-8, doi:10.17714/gumusfenbil.456858.
Vancouver
1.Ramazan Sarı, İnan Ünal, Elif Aksoy Sarı. Skew Semi Invariant Submanifolds of Para Kenmotsu Manifold. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 01 Kasım 2018;112-8. doi:10.17714/gumusfenbil.456858