ON THE GENERALIZED OF HARMONIC AND BI-HARMONIC MAPS

 

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  • [1] Ara, M., Geometry of F -Harmonic maps; Kodai Math. J. 22, 243-263, (1999).
  • [2] Baird, P. and Wood, J.C., Harmonic morphisms between Riemannain manifolds. Clarendon Press Oxford 2003.
  • [3] Baird, P and Gudmundson, S., p-harmoinc maps and minimal submanifolds, Math. Ann. 294 (1992), 611-624.
  • [4] Baird, P., Fardoun, A. and S. Ouakkas, Conformal and semi-conformal biharmonic maps,Annals of global analysis and geometry, 34 (2008),403–414.
  • [5] Course, .N, f-harmonic maps which map the boundary of the domain to one point in the target; New York Journal of Mathematics. 13, (2007), 423-435.
  • [6] Eells, J. and Sampson, J. H., Harmonic mappings of Riemannian manifolds, Amer. J. Maths, 86(1964).
  • [7] Eells, J. and Lemaire, L., Another report on harmonic maps, Bull. London Math. Soc. 20 (1988), 385-524.
  • [8] Jiang, G.Y.: Harmonic maps and their first and second variational formulas. Chinese Ann. Math. Ser. A. 7, 389-402 (1986).
  • [9] Loubeau, E. and Ou, Y.L., The caracterization of biharmonic morphisms; Differential geometry and its applications (Opava 2001) Math. Publ. 3(2001), 31-41.
  • [10] Ouakkas, S., Nasri, R. and Djaa, M., On the f-harmonic and f-biharmonic maps, JP Journal of Geometry and Topology, Volume 10, Number 1, 2010, Pages 11-27 Mars 2010.
  • [11] Ouakkas, S., Biharmonic maps, conformal deformations and the Hopf maps, Differential Geometry and its Applications,26 (2008), 495–502.
  • [12] Oniciuc, C., Biharmonic maps between Riemannian manifolds, An.Stinj. Univ Al.I. Cusa Iasi Mat. 48, (2002), 237-248.