Abstract
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.
Citation
Oscar Perdomo. "On the average of the scalar curvature of minimal hypersurfaces of spheres with low stability index." Illinois J. Math. 48 (2) 559 - 565, Summer 2004. https://doi.org/10.1215/ijm/1258138398
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