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ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD

Cilt: 1 Sayı: 2 9 Ekim 2019
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ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD

Öz

The object of this paper is to study submanifolds of (k,¹)-paracontact
manifolds. We ¯nd the necessary and su±cient conditions for a submanifold of
(k,¹)-paracontact manifolds to be invariant and anti-invariant. Also, we research
the necessary and su±cient conditions for a submanifold of a (k,¹)-paracontact to be
semi-parallel and 2-semi-parallel submanifold and get interesting results.

Anahtar Kelimeler

Destekleyen Kurum

17. geometri sempozyumu

Kaynakça

  1. 1. K. Arslan, U. Lumiste, C. Murathan and C. Özgür, 2-semiparallel surfaces in space forms 1. Twoparticular cases, Proceedings of the Estonian Academy of Sciences, Physics and Mathematics 49,(3), 139-148, 2000.
  2. 2.M. Atceken, Yildirim U. and Dirik, S., Semiparallel Submanifolds of a Normal Paracontact MetricManifold. Hacettepe Journal of Mathematics and Statistics, 48(2), 501-509, 2019.
  3. 3. M. At»ceken and S. Uddin, Semi-invariant submanifolds of a normal Paracontact Manifold, Filomat,31(15), 4875-4887, 2017, doi.org/10.2298/FIL17155875A.
  4. 4. C. I. Bejan, Almost Semi-Invariant submanifolds of a cosymplectic manifold, An. S»tint. Univ. Al.I. Cuza Ia»si. Mat. (N.S. ) 31, 149-156, 1985.
  5. 5. Bejancu and N. Papaghuic, Semi-Invariant Submanifolds of a Sasakian manifold, An. S»tint.Univ. Al. I. Cuza Ia»si. Mat. (N. S) 27, 163-170, 1981.
  6. 6. Bejancu and N. Papaghuic, Semi-Invariant Submanifolds of a Sasakian space form, Collog.Math. 48, 77-88, 1984.
  7. 7. Cabras and P. Matzeu, Almost semi-invariant submanifolds of a cosympectic manifold, Demon-stratio Math. 19, 395-401, 1986.
  8. 8. Ish³hara, Anti-invariant submanifolds of a Sasakian space form, Kodai Math. J. 2, 171-186,1979.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

9 Ekim 2019

Gönderilme Tarihi

30 Temmuz 2019

Kabul Tarihi

9 Ekim 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 1 Sayı: 2

Kaynak Göster

APA
Uygun, P., & Atçeken, M. (2019). ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD. Hagia Sophia Journal of Geometry, 1(2), 8-14. https://izlik.org/JA57CT28PA
AMA
1.Uygun P, Atçeken M. ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD. HSJG. 2019;1(2):8-14. https://izlik.org/JA57CT28PA
Chicago
Uygun, Pakize, ve Mehmet Atçeken. 2019. “ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD”. Hagia Sophia Journal of Geometry 1 (2): 8-14. https://izlik.org/JA57CT28PA.
EndNote
Uygun P, Atçeken M (01 Ekim 2019) ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD. Hagia Sophia Journal of Geometry 1 2 8–14.
IEEE
[1]P. Uygun ve M. Atçeken, “ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD”, HSJG, c. 1, sy 2, ss. 8–14, Eki. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA57CT28PA
ISNAD
Uygun, Pakize - Atçeken, Mehmet. “ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD”. Hagia Sophia Journal of Geometry 1/2 (01 Ekim 2019): 8-14. https://izlik.org/JA57CT28PA.
JAMA
1.Uygun P, Atçeken M. ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD. HSJG. 2019;1:8–14.
MLA
Uygun, Pakize, ve Mehmet Atçeken. “ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD”. Hagia Sophia Journal of Geometry, c. 1, sy 2, Ekim 2019, ss. 8-14, https://izlik.org/JA57CT28PA.
Vancouver
1.Pakize Uygun, Mehmet Atçeken. ON THE GEOMETRY OF SUBMANIFOLDS OF A (k; mu)-PARACONTACT MANIFOLD. HSJG [Internet]. 01 Ekim 2019;1(2):8-14. Erişim adresi: https://izlik.org/JA57CT28PA