On Biharmonic Legendre curves in S-space forms
Yıl: 2014 Cilt: 38 Sayı: 3 Sayfa Aralığı: 454 - 461 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
On Biharmonic Legendre curves in S-space forms
Öz: We study biharmonic Legendre curves in S-space forms. We find curvature characterizations of these special curves in 4 cases.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Baikoussis, C., Blair, D.E.: On Legendre curves in contact 3-manifolds. Geom. Dedicata 49, 135{142 (1994).
- [2] Balmus, A. Montaldo, S., Oniciuc, C.: Classication results for biharmonic submanifolds in spheres. Israel J. Math. 168, 201{220 (2008).
- [3] Balmus, A. Montaldo, S., Oniciuc, C.: Biharmonic hypersurfaces in 4-dimensional space forms. Math. Nachr. 283, 1696{1705 (2010).
- [4] Blair, D.E.: Geometry of manifolds with structural group U (n) O (s ). J. Dierential Geometry 4, 155{167 (1970).
- [5] Blair, D.E.: Riemannian Geometry of Contact and Symplectic Manifolds. (Boston. Birkhauser 2002).
- [6] Cabrerizo, J.L., Fernandez, L.M., Fernandez, M.: The curvature of submanifolds of an S-space form. Acta Math. Hungar. 62, 373{383 (1993).
- [7] Caddeo, R., Montaldo, S., Oniciuc, C.: Biharmonic submanifolds of S 3 . Internat. J. Math. 12, 867{876 (2001).
- [8] Caddeo, R., Montaldo, S., Oniciuc, C.: Biharmonic submanifolds in spheres. Israel J. Math. 130, 109{123 (2002).
- [9] Chen, B.Y.: A report on submanifolds of nite type. Soochow J. Math. 22, 117{337 (1996).
- [10] Eells, J. Jr, Sampson, J.H.: Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86, 109{160 (1964).
- [11] Fetcu, D.: Biharmonic curves in the generalized Heisenberg group. Beitrage zur Algebra und Geometrie 46, 513{521 (2005).
- [12] Fetcu, D.: Biharmonic Legendre curves in Sasakian space forms. J. Korean Math. Soc. 45, 393{404 (2008).
- [13] Fetcu, D., Oniciuc, C.: Biharmonic hypersurfaces in Sasakian space forms. Dierential Geom. Appl. 27, 713{722 (2009).
- [14] Fetcu, D., Oniciuc, C.: Explicit formulas for biharmonic submanifolds in Sasakian space forms. Pacic J. Math. 240, 85{107 (2009).
- [15] Fetcu, D., Loubeau, E., Montaldo, S., Oniciuc, C.: Biharmonic submanifolds of CP n . Math. Z. 266, 505{531 (2010).
- [16] Jiang, G.Y.: 2-Harmonic maps and their rst and second variational formulas. Chinese Ann. Math. Ser. A 7, 389{402 (1986).
- [17] Kim, J.S., Dwivedi, M.K., Tripathi, M.M.: Ricci curvature of integral submanifolds of an S -space form. Bull. Korean Math. Soc. 44 , 395{406 (2007).
- [18] Montaldo, S., Oniciuc, C.: A short survey on biharmonic maps between Riemannian manifolds. Rev. Un. Mat. Argentina 47, 1{22 (2006).
- [19] Nakagawa, H.: On framed f-manifolds. Kodai Math. Sem. Rep. 18, 293{306 (1966).
- [20] Ou, Y.L.: p -Harmonic morphisms, biharmonic morphisms,and nonharmonic biharmonic maps. J. Geom. Phys. 56, 358{374 (2006).
- [21] Ou, Y.L.: Biharmonic hypersurfaces in Riemannian manifolds. Pacic J. Math. 248, 217 {232 (2010)
- [22] Ou, Y.L.: Some constructions of biharmonic maps and Chen's conjecture on biharmonic hypersurfaces. J. Geom. Phys. 62, 751{762 (2012).
- [23] Vanzura, J.: Almost r-contact structures. Ann. Scuola Norm. Sup. Pisa. 26, 97{115 (1972).
- [24] Yano, K., Kon, M.: Structures on Manifolds. Series in Pure Mathematics, 3. (Singapore. World Scientic Publishing Co. 1984).
APA | Özgür C, GÜVENÇ Ş (2014). On Biharmonic Legendre curves in S-space forms. , 454 - 461. |
Chicago | Özgür Cihan,GÜVENÇ ŞABAN On Biharmonic Legendre curves in S-space forms. (2014): 454 - 461. |
MLA | Özgür Cihan,GÜVENÇ ŞABAN On Biharmonic Legendre curves in S-space forms. , 2014, ss.454 - 461. |
AMA | Özgür C,GÜVENÇ Ş On Biharmonic Legendre curves in S-space forms. . 2014; 454 - 461. |
Vancouver | Özgür C,GÜVENÇ Ş On Biharmonic Legendre curves in S-space forms. . 2014; 454 - 461. |
IEEE | Özgür C,GÜVENÇ Ş "On Biharmonic Legendre curves in S-space forms." , ss.454 - 461, 2014. |
ISNAD | Özgür, Cihan - GÜVENÇ, ŞABAN. "On Biharmonic Legendre curves in S-space forms". (2014), 454-461. |
APA | Özgür C, GÜVENÇ Ş (2014). On Biharmonic Legendre curves in S-space forms. Turkish Journal of Mathematics, 38(3), 454 - 461. |
Chicago | Özgür Cihan,GÜVENÇ ŞABAN On Biharmonic Legendre curves in S-space forms. Turkish Journal of Mathematics 38, no.3 (2014): 454 - 461. |
MLA | Özgür Cihan,GÜVENÇ ŞABAN On Biharmonic Legendre curves in S-space forms. Turkish Journal of Mathematics, vol.38, no.3, 2014, ss.454 - 461. |
AMA | Özgür C,GÜVENÇ Ş On Biharmonic Legendre curves in S-space forms. Turkish Journal of Mathematics. 2014; 38(3): 454 - 461. |
Vancouver | Özgür C,GÜVENÇ Ş On Biharmonic Legendre curves in S-space forms. Turkish Journal of Mathematics. 2014; 38(3): 454 - 461. |
IEEE | Özgür C,GÜVENÇ Ş "On Biharmonic Legendre curves in S-space forms." Turkish Journal of Mathematics, 38, ss.454 - 461, 2014. |
ISNAD | Özgür, Cihan - GÜVENÇ, ŞABAN. "On Biharmonic Legendre curves in S-space forms". Turkish Journal of Mathematics 38/3 (2014), 454-461. |