Dergiler / International Electronic Journal of Geometry / 2018 / Cilt: 11 - Sayı: 2

On f -Biharmonic Curves

Sayfa
18–27
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We study f -biharmonic curves in Sol spaces, Cartan-Vranceanu 3 -dimensional spaces,homogeneous contact 3 -manifolds and we analyze non-geodesic f -biharmonic curves in thesespaces.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We study f -biharmonic curves in Sol spaces, Cartan-Vranceanu 3 -dimensional spaces,homogeneous contact 3 -manifolds and we analyze non-geodesic f -biharmonic curves in thesespaces.
📊
Temel Bulgular & Veri:We study f -biharmonic curves in Sol spaces, Cartan-Vranceanu 3 -dimensional spaces,homogeneous contact 3 -manifolds and we analyze non-geodesic f -biharmonic curves in thesespaces.
💡
Sonuç & Katkı:We study f -biharmonic curves in Sol spaces, Cartan-Vranceanu 3 -dimensional spaces,homogeneous contact 3 -manifolds and we analyze non-geodesic f -biharmonic curves in thesespaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

We study f -biharmonic curves in Sol spaces, Cartan-Vranceanu 3 -dimensional spaces,homogeneous contact 3 -manifolds and we analyze non-geodesic f -biharmonic curves in thesespaces.

🔖

Bu Makaleye Atıf Yap

KARACA, F., ÖZGÜR, C. (2022). On f -Biharmonic Curves. International Electronic Journal of Geometry, Cilt: 11 - Sayı: 2, 18–27. https://ajindex.com/articles/539672

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. Blair, D. E., Riemannian Geometry of Contact and Symplectic Manifolds. Boston. Birkhauser 2002.
  2. Caddeo, R., Montaldo, S. and Oniciuc, C., Biharmonic submanifolds of S 3. Internat. J. Math. 12 (2001), 867-876.
  3. Caddeo, R., Montaldo, S. and Oniciuc, C., Biharmonic submanifolds in spheres. Israel J. Math. 130 (2002), 109-123.
  4. Caddeo, R., Montaldo, S. and Piu, P., Biharmonic curves on a surface. Rend. Mat. Appl. 21 (2001), 143-157.
  5. Caddeo, R., Montaldo, S., Oniciuc, C. and Piu, P., The classification of biharmonic curves of Cartan-Vranceanu 3-dimensional spaces. The 7th Int. Workshop on Dif. Geo. and its Appl. 121-131,
  6. Cluj Univ. Press, Cluj-Napoca, 2006.
  7. Course, N., f -harmonic maps. Ph.D thesis, University of Warwick, Coventry, (2004) CV4 7AL, UK. Caddeo, R., Oniciuc, C. and Piu, P., Explicit formulas for non-geodesic biharmonic curves of the Heisenberg group. Rend. Sem. Mat. Univ. Politec. Torino. 62 (2004), 265-277.
  8. Eells, J. Jr. and Sampson, J. H., Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86 (1964), 109-160.
  9. Güvenç, Ş. and Özgür, C., On the characterizations of f -biharmonic Legendre curves in Sasakian space forms. Filomat. 31 (2017), 639-648.
  10. Inoguchi, J., Biminimal submanifolds in contact 3-manifolds. Balkan J. Geom. Appl. 12 (2007), 56-67.
  11. Jiang, G. Y., 2-Harmonic maps and their first and second variational formulas. Chinese Ann. Math. Ser. A. 7 (1986), 389-402. Lu,W-J., On f -Biharmonic maps and bi-f -harmonic maps between Riemannian manifolds. Sci. China Math. 58 (2015), 1483-1498.
  12. Ouakkas, S., Nasri,R. and Djaa, M., On the f -harmonic and f -biharmonic maps. JP Journal of Geom. and Top. 10 (2010), 11-27.
  13. Ou, Y-L., On f -biharmonic maps and f -biharmonic submanifolds. Pacific J. Math. 271 (2014), 461-477.
  14. Ou, Y-L. and Wang, Z-P., Biharmonic maps into Sol and Nil spaces. arXiv preprint math/0612329 (2006).
  15. Ou, Y-L. and Wang, Z-P., Linear biharmonic maps into Sol, Nil and Heisenberg spaces. Mediterr. J. Math. 5 (2008), 379-394.
  16. Perrone, D., Homogeneous contact Riemannian three-manifolds. Illinois J. Math. 42 (1998), 243-256.
  17. T royanov-EPFL, M., L’horizon de SOL. Exposition. Math. 16 (1998).