Submanifolds with constant scalar curvature

Li, Jintang

Li, Jintang

Kodai Math. J., Tome 27 (2004) no. 1, p. 206-213 / Harvested from Project Euclid

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Résumé

Let

$M^n$ be a compact submanifold of

$S^{n+p}(c)$ with constant scalar curvature. In this paper, we prove that if the squared norm

$S$ of the second fundamental form satisfies a certain inequality, then

$M^n$ is a totally umbilic or eqality holds and we described all

$M^n$ that satisfy this equality.

Publié le : 2004-10-14
Classification:

@article{1104247346,
     author = {Li, Jintang},
     title = {Submanifolds with constant scalar curvature},
     journal = {Kodai Math. J.},
     volume = {27},
     number = {1},
     year = {2004},
     pages = { 206-213},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1104247346}
}

Li, Jintang. Submanifolds with constant scalar curvature. Kodai Math. J., Tome 27 (2004) no. 1, pp.  206-213. http://gdmltest.u-ga.fr/item/1104247346/