On the average of the scalar curvature of minimal hypersurfaces of spheres with low stability index
Perdomo, Oscar
Illinois J. Math., Tome 48 (2004) no. 3, p. 559-565 / Harvested from Project Euclid
In this paper we show that if the stability index of $M$ is equal to $n+2$, then the average of the function $|A|^2$ is less than or equal to $n-1$. Moreover, if this average is equal to $n-1$, then $M$ must be isometric to a Clifford minimal hypersurface.
Publié le : 2004-04-15
Classification:  53C42
@article{1258138398,
     author = {Perdomo, Oscar},
     title = {On the average of the scalar curvature of minimal hypersurfaces of spheres with low stability index},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 559-565},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138398}
}
Perdomo, Oscar. On the average of the scalar curvature of minimal hypersurfaces of spheres with low stability index. Illinois J. Math., Tome 48 (2004) no. 3, pp.  559-565. http://gdmltest.u-ga.fr/item/1258138398/