Geodesic
BIHARMONIC LAGRANGIAN SUBMANIFOLDS IN KÄHLER MANIFOLDS
Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 465-480

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DOI

We give the necessary and sufficient conditions for Lagrangian submanifolds in Kähler manifolds to be biharmonic. We classify biharmonic PNMC Lagrangian H-umbilical submanifolds in the complex space forms. Furthermore, we classify biharmonic PNMC Lagrangian surfaces in the two-dimensional complex space forms.
DOI : 10.1017/S0017089512000730
Mots-clés : Primary 58E20, Secondary 53C43 
MAETA, SHUN; URAKAWA, HAJIME. BIHARMONIC LAGRANGIAN SUBMANIFOLDS IN KÄHLER MANIFOLDS. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 465-480. doi: 10.1017/S0017089512000730
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     author = {MAETA, SHUN and URAKAWA, HAJIME},
     title = {BIHARMONIC {LAGRANGIAN} {SUBMANIFOLDS} {IN} {K\"AHLER} {MANIFOLDS}},
     journal = {Glasgow mathematical journal},
     pages = {465--480},
     year = {2013},
     volume = {55},
     number = {2},
     doi = {10.1017/S0017089512000730},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000730/}
}
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