KaydedilenlerDerginizi ekleyin

Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 14 Issue: 1

Some Results of $f$-Harmonic and Bi-$f$-Harmonic Maps with Potential

Zegga Kaddour(Mascara university)0000-0002-2888-2119
Sayfa
—
Yayın Tarihi
2021-04-15
🏛️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)

In this note we characterize the f-harmonic maps and bi-f-harmonic maps with potential.We prove that every bi-f-harmonic map with potential from complete Riemannian manifold, satisfying some conditions is a f-harmonic map with potential.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this note we characterize the f-harmonic maps and bi-f-harmonic maps with potential.We prove that every bi-f-harmonic map with potential from complete Riemannian manifold, satisfying some conditions is a f-harmonic map with potential.
📊
Temel Bulgular & Veri:In this note we characterize the f-harmonic maps and bi-f-harmonic maps with potential.We prove that every bi-f-harmonic map with potential from complete Riemannian manifold, satisfying some conditions is a f-harmonic map with potential.
💡
Sonuç & Katkı:In this note we characterize the f-harmonic maps and bi-f-harmonic maps with potential.We prove that every bi-f-harmonic map with potential from complete Riemannian manifold, satisfying some conditions is a f-harmonic map with potential.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:f-harmonic maps with potential · bi-f-harmonic maps with potential · H-f-energy

Özet

In this note we characterize the f-harmonic maps and bi-f-harmonic maps with potential.We prove that every bi-f-harmonic map with potential from complete Riemannian manifold, satisfying some conditions is a f-harmonic map with potential.

Abstract

In this note, we characterize the $f$-harmonic maps and bi-$f$-harmonic maps with potential. We prove that every bi-$f$-harmonic map with potential from complete Riemannian manifold, satisfying some conditions is a $f$-harmonic map with potential. More, we study the case of conformal maps between equidimensional manifolds.

🔖

Bu Makaleye Atıf Yap

Kaddour, Z. (2021). Some Results of $f$-Harmonic and Bi-$f$-Harmonic Maps with Potential. International Electronic Journal of Geometry, Volume: 14 Issue: 1. https://doi.org/10.36890/iejg.713254

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Lichnerowicz, A.: Applications harmoniques et variétés Kähleriennes. Rend. Sem. Mat. Fis. Milano. 39, 186–195 (1969).
  2. Cherif, A. M., Djaa, M.: On the bi-harmonic maps with potential. Arab J. Math. Sci. 24(1), 1–8 (2018).
  3. Ratto, A.: Harmonic maps with potential. Proceedings of theWorkshop on Differential Geometry and Topology (Palermo, 1996). Rend. Circ. Mat. Palermo. (2) Suppl. No. 49, 229–242 (1997).
  4. Zagane, A., Ouakass, S.: Some results and examples of the biharmonic maps with potential. Arab J. Math. Sci. 24(2), 182–198 (2018).
  5. Zegga, K., Cherif, A. M., Djaa, M.: On the f-biharmonic maps and submanifolds. Kyungpook Math. J. 55(1), 157–168 (2015).
  6. Ara, M. Geometry of F-harmonic maps. Kodai Math. J. 22(2), 243–263 (1999).
  7. Djaa, M., Cherif, A. M., Zegga, K., Ouakkas, S.: On the generalized of harmonic and bi-harmonic maps. Int. Electron. J. Geom. 5(1), 90–100 (2012).
  8. Cherif, A. M., Djaa, M., Zegga, K.: Stable f-harmonic maps on sphere. Commun. Korean Math. Soc. 30(4), 471–479 (2015).
  9. Course N.: f-harmonic maps, Thesis, University ofWarwick, Coventry, CV4 7AL, UK,2004.
  10. Baird, P.: Harmonic maps with symmetry, harmonic morphisms and deformations of metrics. Research Notes in Mathematics, 87. Pitman (Advanced Publishing Program), Boston, MA, 1983.
  11. Chen, Q.: Harmonic maps with potential from complete manifolds. Chinese Sci. Bull. 43(21), 1780–1786 (1998).
  12. Jiang, R.: Harmonic maps with potential from R2 into S2. Asian J. Math. 20(4), 597–627 (2016).
  13. Ouakkas, S., Nasri, R., Djaa, M.: On the f-harmonic and f-biharmonic maps. JP J. Geom. Topol. 10(1), 11–27 (2010).
  14. Branding, V.: The heat flow for the full bosonic string. Ann. Global Anal. Geom. 50(4), 347–365 (2016).