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Dergiler / International Electronic Journal of Geometry / 2022 / Volume: 15 Issue: 2

On the Generalized of p-harmonic Maps

Bouchra Merdji(Mascara University)0000-0002-0076-6001
Ahmed Mohammed Cherif(Mascara University)0000-0002-6155-0976
Sayfa
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Yayın Tarihi
2022-10-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We present some new properties for the generalized stable p-harmonic maps.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we extend the definition of p-harmonic and p-biharmonic maps between Riemannian manifolds.
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Temel Bulgular & Veri:In this paper, we extend the definition of p-harmonic and p-biharmonic maps between Riemannian manifolds.
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Sonuç & Katkı:We present some new properties for the generalized stable p-harmonic maps.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$p$-harmonic maps · $p$-biharmonic maps · stable $p$-harmonic maps

Abstract

In this paper, we extend the definition of p-harmonic and p-biharmonic maps between Riemannian manifolds. We present some new properties for the generalized stable p-harmonic maps.

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Bu Makaleye Atıf Yap

Merdji, B., Cherif, A. M. (2022). On the Generalized of p-harmonic Maps. International Electronic Journal of Geometry, Volume: 15 Issue: 2. https://doi.org/10.36890/iejg.1085856

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Kaynakça (10)

  1. Baird, P., Wood, J. C.: Harmonic morphisms between Riemannain manifolds. Clarendon Press, Oxford (2003).
  2. Baird, P., Gudmundsson, S.: p-Harmonic maps and minimal submanifolds. Math. Ann. 294, 611-624 (1992).
  3. Bojarski, B., Iwaniec, T.: p-Harmonic equation and quasiregular mappings. Banach Center Publ. 19 (1), 25-38 (1987).
  4. Cheung, L-F., Leung, P-F.: Some results on stable p-harmonic maps. Glasgow Math. J. 36, 77-80 (1994).
  5. Eells, J., Sampson, J. H.:Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86, 109-160 (1964).
  6. Fardoun, A.: On equivariant p-harmonic maps. Ann. Inst. Henri. Poincare. 15, 25-72 (1998).
  7. Jiang, G. Y.: 2-harmonic maps and their first and second variational formulas. Chinese Ann. Math. Ser. A. 7 (4), 389-402 (1986).
  8. Mohammed Cherif, A.: On the p-harmonic and p-biharmonic maps. J. Geom. 109 (41), (2018).
  9. Nagano, T., Sumi M.: Stability of p-harmonic maps. Tokyo J. Math. 15 (2), 475-482 (1992).
  10. Xin Y.: Geometry of harmonic maps. Fudan University (1996).