You are here

Biharmonic Maps into S-Space Forms

Journal Name:

Publication Year:

Abstract (2. Language): 
We study in this paper the condition on second fundamental form for biharmonicity of submanifolds in S-space forms.
150
159

JEL Codes:

REFERENCES

References: 

[1] D.E. Blair, Geometry of manifolds with structural group U(n) O(s), J. Dierential
Geom. 4 (1970). 155-167.
[2] A. Balmus, Biharmonic properties and conformal changes., An. Stiint. Univ. Al.I.
Cuza Iasi Mat. (N.S.) 50 (2004), 361372.
[3] A. Balmus, C. Oniciuc, Some remarks on the biharmonic submanifolds of S3 and their
stability, An. Stiint. Univ. Al.I. Cuza Iasi, Mat. (N.S), 51 (2005), 171190.
[4] Jose L. Cabrerizo, Luis M. Fernandez, Manuel Fernandez (Sevilla), On normal CR-
submanifolds of S-manifolds, Colloquim Mathematicum, Vol. LXIV, (1993), FASC.
2.
[5] Toshiyuki Ichiyama, Jun-ichi Inoguchi, Hajim Urakawa Bi-harmonic maps and bi-
Yang-Mills elds, Note di Matematica, Note Mat. 1(2008), suppl. n. 1, 233-275.
[6] J. Davidov, A. G. Sergeev, Twistor spaces and harmonic maps, Uspekhi Mat. Nauk,
1993, Volume 48, Issue 3(291), 396.
[7] J. Eells, J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J.
Math. 86 (1964), 109-160
[8] G. Y. Jiang 2-harmonic maps and their rst and second variational formulas,Chinese
Ann. Math. Ser. A7(4) (1986), 389-402.
[9] J. Eells and L. Lemaire, Report on harmonic maps, Bull, London Math. Soc. 20
(1988), 385-524.
[10] C. Gherghe, Harmonicity on cosymplectic manifolds, Rocky Mountain J.Math. 40,
No.6,(2010), 247-254.
[11] C. Gherghe, S. Ianus, A. M. Pastore, CR-manifolds, harmonic maps and and stability,
J.Geom. 71(2001), 42-53.
[12] C. Gherghe, K.Kenmotsu, Energy minimizer maps on C-manifolds, Di. Geom. Appl.
21(2004), 55-63.
[13] A. Lichnerowicz, Applications harmoniques et varietes khleriennes, Sympos. Math. 3
(1970) 341402.
[14] J. Rawnsley, f -structures, f -twistor spaces and harmonic maps, Lecture Notes in
Math., vol. 1164, Springer-Verlag, 1984, pp. 85159.
[15] N.A. Rehman Harmonic Maps on S-Manifolds, An. St. Univ. Ovidius Constanta, Vol
21(3), 2013, 197-208.
[16] Hajime Urakawa, Harmonic and Biharmonic Maps, Symmetry 2015, 7, 651-674.
REFERENCES 159
[17] K. Yano and M. Kon, Structures on manifolds, vol. 3, Series in pure Math., World
Scientic, Singapore, 1984.

Thank you for copying data from http://www.arastirmax.com