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Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 3

On Biharmonic Legendre curves in S-space forms

Cihan ÖZGÜR
Şaban GÜVENÇ
Sayfa
454–461
Yayın Tarihi
2014-05-16
DOI
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We find curvature characterizations of these special curves in 4 cases.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We study biharmonic Legendre curves in S-space forms.
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Temel Bulgular & Veri:We study biharmonic Legendre curves in S-space forms.
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Sonuç & Katkı:We find curvature characterizations of these special curves in 4 cases.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Space form · Legendre curve · biharmonic curve

Özet

We study biharmonic Legendre curves in S-space forms. We find curvature characterizations of these special curves in 4 cases.

Abstract

We study biharmonic Legendre curves in S-space forms. We find curvature characterizations of these special curves in 4 cases.

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Bu Makaleye Atıf Yap

ÖZGÜR, C., GÜVENÇ, Ş. (2014). On Biharmonic Legendre curves in S-space forms. Turkish Journal of Mathematics, Cilt: 38 - Sayı: 3, 454–461. https://ajindex.com/articles/185721

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Kaynakça (20)

  1. Baikoussis, C., Blair, D.E.: On Legendre curves in contact 3 -manifolds. Geom. Dedicata 49, 135–142 (1994). Balmu¸s, A. Montaldo, S., Oniciuc, C.: Classification results for biharmonic submanifolds in spheres. Israel J. Math. 168, 201–220 (2008). Balmu¸s, A. Montaldo, S., Oniciuc, C.: Biharmonic hypersurfaces in 4-dimensional space forms. Math. Nachr. 283, 1696–1705 (2010).
  2. Blair, D.E.: Geometry of manifolds with structural group U(n) × O(s). J. Differential Geometry 4, 155–167 (1970).
  3. Blair, D.E.: Riemannian Geometry of Contact and Symplectic Manifolds. (Boston. Birkhauser 2002).
  4. Cabrerizo, J.L., Fernandez, L.M., Fernandez, M.: The curvature of submanifolds of an S-space form. Acta Math. Hungar. 62, 373–383 (1993).
  5. Caddeo, R., Montaldo, S., Oniciuc, C.: Biharmonic submanifolds of S 3. Internat. J. Math. 12, 867–876 (2001)
  6. Caddeo, R., Montaldo, S., Oniciuc, C.: Biharmonic submanifolds in spheres. Israel J. Math. 130, 109–123 (2002).
  7. Chen, B.Y.: A report on submanifolds of finite type. Soochow J. Math. 22, 117–337 (1996).
  8. Eells, J. Jr, Sampson, J.H.: Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86, 109–160 (1964).
  9. Fetcu, D.: Biharmonic curves in the generalized Heisenberg group. Beitrage zur Algebra und Geometrie 46, 513–521 (2005).
  10. Fetcu, D.: Biharmonic Legendre curves in Sasakian space forms. J. Korean Math. Soc. 45, 393–404 (2008).
  11. Fetcu, D., Oniciuc, C.: Biharmonic hypersurfaces in Sasakian space forms. Differential Geom. Appl. 27, 713–722 (2009).
  12. Fetcu, D., Oniciuc, C.: Explicit formulas for biharmonic submanifolds in Sasakian space forms. Pacific J. Math. 240, 85–107 (2009).
  13. Fetcu, D., Loubeau, E., Montaldo, S., Oniciuc, C.: Biharmonic submanifolds of CP n. Math. Z. 266, 505–531 (2010)
  14. Jiang, G.Y.: 2 -Harmonic maps and their first and second variational formulas. Chinese Ann. Math. Ser. A 7, 389–402 (1986).
  15. 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).
  16. Montaldo, S., Oniciuc, C.: A short survey on biharmonic maps between Riemannian manifolds. Rev. Un. Mat. Argentina 47, 1–22 (2006).
  17. Nakagawa, H.: On framed f-manifolds. Kodai Math. Sem. Rep. 18, 293–306 (1966).
  18. Ou, Y.L.: p -Harmonic morphisms, biharmonic morphisms,and nonharmonic biharmonic maps. J. Geom. Phys. 56, 358–374 (2006).
  19. Ou, Y.L.: Biharmonic hypersurfaces in Riemannian manifolds. Pacific J. Math. 248, 217–232 (2010)
  20. Ou, Y.L.: Some constructions of biharmonic maps and Chen’s con