Willmore submanifolds in the unit sphere.
Zhen, Guo
Collectanea Mathematica, Tome 55 (2004), p. 279-287 / Harvested from Biblioteca Digital de Matemáticas
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In this paper we generalize the self-adjoint differential operator (used by Cheng-Yau) on hypersurfaces of a constant curvature manifold to general submanifolds. The generalized operator is no longer self-adjoint. However we present its adjoint operator. By using this operator we get the pinching theorem on Willmore submanifolds which is analogous to the pinching theorem on minimal submanifold of a sphere given by Simon and Chern-Do Carmo-Kobayashi.

Publié le : 2004-01-01
DMLE-ID : 814 
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     title = {Willmore submanifolds in the unit sphere.},
     journal = {Collectanea Mathematica},
     volume = {55},
     year = {2004},
     pages = {279-287},
     zbl = {1073.53017},
     mrnumber = {MR2099219},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44346}
}

Zhen, Guo. Willmore submanifolds in the unit sphere.. Collectanea Mathematica, Tome 55 (2004) pp. 279-287. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44346/