KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

f-Biminimal submanifolds of generalized space forms

Fatma Karaca0000-0002-0382-8028
Sayfa
—
Yayın Tarihi
2019-08-01
🏛️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)

Finally, we consider f-biminimal integral submanifolds in Sasakian space forms and give an example.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We study f-biminimal submanifolds in generalized complex space forms and generalized Sasakian space forms.
📊
Temel Bulgular & Veri:Then, we analyze f-biminimal submanifolds in these spaces.
💡
Sonuç & Katkı:Finally, we consider f-biminimal integral submanifolds in Sasakian space forms and give an example.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:f-biminimal submanifolds · generalized complex space form · generalized Sasakian space form

Abstract

We study f-biminimal submanifolds in generalized complex space forms and generalized Sasakian space forms. Then, we analyze f-biminimal submanifolds in these spaces. Finally, we consider f-biminimal integral submanifolds in Sasakian space forms and give an example.

🔖

Bu Makaleye Atıf Yap

Karaca, F. (2019). f-Biminimal submanifolds of generalized space forms. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.524498

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (20)

  1. Alegre, P., Blair, D. E., Carriazo, A., Generalized Sasakian space forms, Israel J. Math., 141 (2004), 157--183.
  2. Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Boston. Birkhauser (2002).
  3. Course N., f-harmonic maps, PhD, University of Warwick, Coventry, CV4 7AL, UK, (2004).
  4. Eells, J. Jr., Sampson, J. H., Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86(1964), 109--160.
  5. Fetcu, D., Loubeau, E., Montaldo, S., Oniciuc, C., Biharmonic submanifolds of CPⁿ, Math. Z., 266 (2010), 505 -- 531.
  6. Fetcu, D., Oniciuc, C., Explicit formulas for biharmonic submanifolds in Sasakian space forms, Pacific J. Math. 240 (2009), no. 1, 85--107.
  7. Gürler F., Özgür C., f-Biminimal immersions, Turkish J. Math., 41 (2017), 564--575.
  8. Jiang, G.Y., 2-Harmonic maps and their first and second variational formulas, Chinese Ann. Math., Ser. A 7(1986), 389--402.
  9. Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Math. J., 24 (1972), 93--103.
  10. Lotta, A., Slant submanifolds in contact geometry, Bull. Math. Soc. Roumanie, 39 (1996), 183-198.
  11. Loubeau, L., Montaldo S., Biminimal immersions, Proc. Edinb. Math. Soc., 51 (2008), 421-437.
  12. Lu,W-J., On f-bi-harmonic maps and bi-f-harmonic maps between Riemannian manifolds, Science China Math. 58 (2015), 1483-1498.
  13. Ludden, G.D., Submanifolds of cosymplectic manifolds, J. Differential Geometry, 4 (1970) 237--244.
  14. Olszak, Z., On the existence of generalized complex space forms, Israel J. Math., 65 (1989), no. 2, 214 -- 218.
  15. Ouakkas S., Nasri R., Djaa M., On the f-harmonic and f-biharmonic maps. JP. J. Geom. Top. (1), 10 (2010), 11--27.
  16. Ou Y-L., On f-biharmonic maps and f-biharmonic submanifolds, Pacific J. Math., 271 (2014), 461--477.
  17. Roth, J., Upadhyay, A., Biharmonic submanifolds of generalized space forms, Diff. Geo. and Appl. 50 (2017), 88-104.
  18. Roth, J., Upadhyay, A., f-Biharmonic and Bi-f-harmonic submanifolds of generalized space forms, arXiv:1609.08599 (2017).
  19. Tricerri, F., Vanhecke, L., Curvature tensors on almost Hermitian manifolds, Trans. Amer. Math. Soc., 267 (1981), no. 2, 365 -- 397.
  20. Yano, K., Kon, M., Structures on manifolds, Series in Pure Mathematics. Singapore: World Scientific Publishing Co., (1984).