A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS

Mehmet Akif AKYOL, (Bingöl Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü)
Selahattin BEYENDİ (İnönü Üniversitesi, Eğitim Fakültesi)
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
5 0
Yıl: 2020 Cilt: 69 Sayı: 2 Sayfa Aralığı: 1508 - 1521 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.729545 İndeks Tarihi: 29-07-2022

A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS

Öz:
The aim of the present paper is to define and study the notion of quasi bi-slant submanifolds of almost contact metric manifolds. We mainly concerned with quasi bi-slant submanifolds of cosymplectic manifolds as a generalization of slant, semi-slant, hemi-slant, bi-slant and quasi hemi-slant submanifolds. First, we give non-trivial examples in order to demostrate the method presented in this paper is effective and investigate the geometry of distributions. Moreover, We study these types of submanifolds with parallel canonical structures.
Anahtar Kelime: Slant submanifold,,bi-slant submanifold,quasi bi-slant submanifold,cosymplectic manifold

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Blair, D. E., Contact manifolds in Riemannian geometry, Lecture Notes in Mathematic Springer-Verlag, New York, Vol. 509, 1976.
  • [2] Blair, D. E., The theory of quasi-Sasakian structure, J. Differential Geom. 1, (3-4) (1967), 331-345.
  • [3] Carriazo, A., New developments in slant submanifolds theory, Narasa Publishing Hause New Delhi, India, 2002.
  • [4] Carriazo, A., Bi-slant immersions, Proceeding of the IGRAMS 2000, Kharagpur, (2000), 88- 97.
  • [5] Chen, B. Y., Geometry of slant submanifolds, Katholieke Universiteit Leuven, Leuven, Bel- gium, View at Zentralblatt Math., 1990.
  • [6] Chen, B. Y., Slant immersions, Bull. Austral. Math. Soc., 41 (1990), 135-147.
  • [7] Cabrerizo, J. L., Carriazo, A., Fernandez, L. M., Fernandez, M., Slant submanifolds in Sasakian manifolds, Glasgom Math. J., 42 (2000), 125-138.
  • [8] Cabrerizo, J. L., Carriazo, A., Fernandez, L. M., Fernandez, M., Semi-slant submanifolds of a Sasakian manifold, Geom. Dedic., 78(2) (1999), 183-199.
  • [9] Dirik, S., Atçeken, M., On the geometry of pseudo-slant submanifolds of a cosymplectic manifold, International Electronic Journal of Geometry, 9(1) (2016), 45-56.
  • [10] Dirik, S., Atceken, M., Contact pseudo-slant submanifolds of a cosymplectic manifold, Nem trends in Mathematical Sciences, 6(4) (2018), 154-164.
  • [11] Gupta, R. S., Haider, S. K., Sharfuddin, A. Slant submanifolds in cosymplectic manifolds, Golloquium Mathematicum, 105 (2016), 207-219.
  • [12] Khan, M. A., Totally umbilical hemi slant submanifolds of Cosymplectic manifolds, Mathe− matica Aeterna, 3(8) (2013), 645-653.
  • [13] Kim, U. K., On anti-invariant submanifolds of cosymplectic manifolds, Bulletin of the Korean Mathematical Society, 21(1) (1984), 35-37.
  • [14] Lone, M. A., Lone, M. S., Shahid, M. H., Hemi-slant submanifolds of cosymplectic manifolds, Gogent Mathematics, 3(1) (2016),1204143.
  • [15] Lotta, A., Slant submanifolds in contact geometry, Bulletin Mathematical Society Roumanie, 39 (1996), 183-198.
  • [16] Ludden, G. D., Submanifolds of cosymplectic manifolds, Journal of Differential Geometry, 4 (1970), 237-244.
  • [17] Olzsak, Z., On almost cosymplectic manifolds, Kodai Math J., 4 (1981), 239-250.
  • [18] Uddin, S., Ozel, C., Khan, V. A., A classication of a totally umbilical slant submanifold of cosymplectic manifolds, Hindami puplishing corporation abstract applied analysis, article ID 716967, 8 pages (2012).
  • [19] Papaghuic, N., Semi-slant submanifolds of a Kaehlarian manifold, An. St. Univ. Al. I. Guza. Univ. Iasi, 40 (2009), 55-61.
  • [20] Prasad, R., Verma, S. K., Kumar, S., Quasi hemi-slant submanifolds of sasakian manifolds, Journal of Mathematical and Gomputational Science, 10(2) (2020), 418-435.
  • [21] S¸ ahin, B., Warped product submanifolds of a Kaehler manifold with a slant factor, Annales Polonici Mathematici, 95 (2009), 107-226.
  • [22] S¸ ahin, B., Slant submanifolds of an almost product Riemannian manifold, Journal of the Korean Mathematical Society, 43(4) (2006), 717-732.
  • [23] S¸ ahin, B., Kele¸s, S. Slant submanifolds of Kaehler product manifolds, furkish Journal of Mathematics, 31 (2007), 65-77.
  • [24] Ta¸stan, H. M., Özdemir, F,. The geometry of hemi-slant submanifolds of a locally product Riemannian manifold, furkish Journal of Mathematics, 39 (2015), 268-284.
APA Akyol M, Beyendi S (2020). A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. , 1508 - 1521. 10.31801/cfsuasmas.729545
Chicago Akyol Mehmet Akif,Beyendi Selahattin A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. (2020): 1508 - 1521. 10.31801/cfsuasmas.729545
MLA Akyol Mehmet Akif,Beyendi Selahattin A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. , 2020, ss.1508 - 1521. 10.31801/cfsuasmas.729545
AMA Akyol M,Beyendi S A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. . 2020; 1508 - 1521. 10.31801/cfsuasmas.729545
Vancouver Akyol M,Beyendi S A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. . 2020; 1508 - 1521. 10.31801/cfsuasmas.729545
IEEE Akyol M,Beyendi S "A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS." , ss.1508 - 1521, 2020. 10.31801/cfsuasmas.729545
ISNAD Akyol, Mehmet Akif - Beyendi, Selahattin. "A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS". (2020), 1508-1521. https://doi.org/10.31801/cfsuasmas.729545
APA Akyol M, Beyendi S (2020). A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69(2), 1508 - 1521. 10.31801/cfsuasmas.729545
Chicago Akyol Mehmet Akif,Beyendi Selahattin A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69, no.2 (2020): 1508 - 1521. 10.31801/cfsuasmas.729545
MLA Akyol Mehmet Akif,Beyendi Selahattin A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.69, no.2, 2020, ss.1508 - 1521. 10.31801/cfsuasmas.729545
AMA Akyol M,Beyendi S A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(2): 1508 - 1521. 10.31801/cfsuasmas.729545
Vancouver Akyol M,Beyendi S A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(2): 1508 - 1521. 10.31801/cfsuasmas.729545
IEEE Akyol M,Beyendi S "A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69, ss.1508 - 1521, 2020. 10.31801/cfsuasmas.729545
ISNAD Akyol, Mehmet Akif - Beyendi, Selahattin. "A NOTE ON QUASI BI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69/2 (2020), 1508-1521. https://doi.org/10.31801/cfsuasmas.729545
Sayfa Oluşturulma Tarihi
23-04-2024 18:48

İLETİŞİM

TÜBİTAK ULAKBİM TR Dizin

Yüzüncüyıl, İşçi Blokları Mahallesi

Muhsin Yazıcıoğlu Caddesi No:51/C

06530 Çankaya / ANKARA +90 (312) 298 92 00

trdizin@tubitak.gov.tr

TÜBİTAK ULAKBİM Ulusal Akademik Ağ ve Bilgi Merkezi Cahit Arf Bilgi Merkezi © Tüm Hakları Saklıdır. Gizlilik Politikası Kullanım Şartları