EN
On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions
Öz
In the present paper, we have studied the curvature tensors of (k,μμ)-paracontact metric manifold satisfying the conditions ˜Z(X,Y)⋅R=0Z~(X,Y)⋅R=0, ˜ZZ~, \ R(X,Y)⋅˜Z=0R(X,Y)⋅Z~=0 and $R(X,Y)\cdot R=0$. According the cases, we have classified (k,μk,μ)-paracontact metric manifolds.
Anahtar Kelimeler
Kaynakça
- Arslan, K., Murathan C. & Özgür C. (2000). On contact manifolds satisfying certain curvature conditions. An. Univ. Bucuresti Math., 49(2), 17-26.
- Atçeken, M. (2014). On generalized Sasakian space forms satisfying certain conditions on the concircular curvature tensor. Bull. Math. Anal. Appl., 6(1), 1-8.
- Atçeken, M. & Uygun P. (2020). Characterizations for totally geodesic submanifolds of (k;m)-paracontact metric manifolds. Korean J. Math., 28(3), 555-571.
- Calvaruso, G. (2011). Homogeneous paracontact metric three-manifolds, Illinois Journal of Mathematics, 55(2), 697-718.
- Cappelletti-Montano, B., Küpeli Erken, I. & Murathan C. (2012). Nullity conditions in paracontact geometry. Differential Geom. Appl., 30(6), 665-693.
- Kaneyuki, S., Williams, F. L. (1985). Almost paracontact and parahodge structures on manifolds. Nagoya Mathematical Journal, 99, 173-187.
- Kowalczyk, D. (2001). On some subclass of semisymmetric manifolds. Soochow J. Math., 27(4), 445-462.
- Mirzoyan, V. A. (1992). Structure theorems on Riemannian Ricci semisymmetric spaces (Russian), Izv. Vyssh. Uchebn. Zaved. Mat., 6, 80-89.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Ağustos 2021
Gönderilme Tarihi
26 Haziran 2021
Kabul Tarihi
18 Ağustos 2021
Yayımlandığı Sayı
Yıl 2021 Cilt: 3 Sayı: 1
APA
Uygun, P., & Atçeken, M. (2021). On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions. Hagia Sophia Journal of Geometry, 3(1), 16-22. https://izlik.org/JA58AX72HA
AMA
1.Uygun P, Atçeken M. On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions. HSJG. 2021;3(1):16-22. https://izlik.org/JA58AX72HA
Chicago
Uygun, Pakize, ve Mehmet Atçeken. 2021. “On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions”. Hagia Sophia Journal of Geometry 3 (1): 16-22. https://izlik.org/JA58AX72HA.
EndNote
Uygun P, Atçeken M (01 Ağustos 2021) On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions. Hagia Sophia Journal of Geometry 3 1 16–22.
IEEE
[1]P. Uygun ve M. Atçeken, “On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions”, HSJG, c. 3, sy 1, ss. 16–22, Ağu. 2021, [çevrimiçi]. Erişim adresi: https://izlik.org/JA58AX72HA
ISNAD
Uygun, Pakize - Atçeken, Mehmet. “On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions”. Hagia Sophia Journal of Geometry 3/1 (01 Ağustos 2021): 16-22. https://izlik.org/JA58AX72HA.
JAMA
1.Uygun P, Atçeken M. On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions. HSJG. 2021;3:16–22.
MLA
Uygun, Pakize, ve Mehmet Atçeken. “On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions”. Hagia Sophia Journal of Geometry, c. 3, sy 1, Ağustos 2021, ss. 16-22, https://izlik.org/JA58AX72HA.
Vancouver
1.Pakize Uygun, Mehmet Atçeken. On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions. HSJG [Internet]. 01 Ağustos 2021;3(1):16-22. Erişim adresi: https://izlik.org/JA58AX72HA